{ "cells": [ { "cell_type": "markdown", "id": "de335658-0562-4908-924d-2cf380f503b8", "metadata": {}, "source": [ "# Curse of dimensionality\n" ] }, { "cell_type": "markdown", "id": "86b31054-56a2-477b-aedc-c5ccedb1ba18", "metadata": {}, "source": [ "Here is a function that depends on time $t$ and 3 other parameters. \n", "\n", "In this example class we generate many samples of the function and \n", "then try to build an interpolator that approximates this function as accurately as possible.\n", "\n", "You can think of this function as a time series that depends on paramaters $a,b,c$.\n", "\n", "In this problem class, we will assume the ranges of the parameters are:\n", "\n", "- $0" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "def f(t, a, b, c):\n", " return np.sqrt(a) * np.exp(-b * t) * np.sin(c * t) + 0.5 * np.cos(2 * t)\n", "\n", "# Example usage\n", "# Define parameters\n", "a = 0.1\n", "b = -0.13\n", "c = 9\n", "\n", "\n", "# Define time range\n", "t = np.linspace(0, 1, 100) # time from 0 to 1 with 100 points\n", "\n", "# Calculate f(t) for these parameters\n", "f_values = f(t, a, b, c)\n", "\n", "# Plot the function\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(t, f_values, label=r'$f(t; a, b, c)$', color='blue')\n", "plt.xlabel('Time $t$')\n", "plt.ylabel(r'$f(t)$')\n", "plt.title(r'Time Series $f(t; a, b, c)$')\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "8b3af2bd-b0d6-4ab9-8056-fa532dda34cb", "metadata": {}, "source": [ "You can make a widget plot and play with different parameter values. " ] }, { "cell_type": "code", "execution_count": 4, "id": "81e2fd46-55dc-44de-b4ef-61f99d17a274", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "8965a788ac294ca2b6427b8c13f5d1e2", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=0.1, description='a', max=1.0, step=0.01), FloatSlider(value=-0.13, de…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from ipywidgets import interactive\n", "import ipywidgets as widgets\n", "\n", "\n", "def plot_with_parameters(a, b, c):\n", " # Define time range\n", " t = np.linspace(0, 1, 100)\n", " \n", " # Calculate f(t) for these parameters \n", " f_values = f(t, a, b, c)\n", " \n", " # Plot the function\n", " plt.figure(figsize=(10, 6))\n", " plt.plot(t, f_values, label=r'$f(t; a, b, c)$', color='blue')\n", " plt.xlabel('Time $t$')\n", " plt.ylabel(r'$f(t)$')\n", " plt.title(r'Time Series $f(t; a, b, c)$')\n", " plt.legend()\n", " plt.grid(True)\n", " plt.show()\n", "\n", "# Create interactive widget\n", "interactive_plot = interactive(\n", " plot_with_parameters,\n", " a=widgets.FloatSlider(min=0, max=1, step=0.01, value=0.1),\n", " b=widgets.FloatSlider(min=-0.5, max=0.5, step=0.01, value=-0.13),\n", " c=widgets.FloatSlider(min=5, max=10, step=0.1, value=9)\n", ")\n", "\n", "display(interactive_plot)" ] }, { "cell_type": "markdown", "id": "6558b71b", "metadata": {}, "source": [ "The goal of this problem class is to sample this function across all its parameter space and create interpolators. \n", "\n", "You should aim to understand the limitations of interpolation and how to deal with this very important problem. " ] }, { "cell_type": "markdown", "id": "604fa6a0-ce1f-43f6-99ac-2380affdc574", "metadata": {}, "source": [ "## Question 1\n", "\n", "Consider all parameter values (except $t$) are fixed and create an interpolator with respect to time $t$. \n", "\n", "You use the original grid for the interpolation. " ] }, { "cell_type": "code", "execution_count": 5, "id": "99c11f18", "metadata": {}, "outputs": [], "source": [ "t = np.linspace(0, 1, 100)" ] }, { "cell_type": "markdown", "id": "e7462b70-505e-42be-9bbd-f619ecf93086", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 6, "id": "f5ad1cf9-28f0-439b-8efe-4aca06645cd9", "metadata": {}, "outputs": [], "source": [ "from scipy.interpolate import interp1d\n", "\n", "# Define time points and corresponding function values for a specific `a`\n", "x = t # Time points, assumed to be defined previously\n", "\n", "y = f_values # Function values at each time point `t` for a fixed `a`\n", "\n", "# Create the interpolator function with respect to time `t`\n", "F_interp_t = interp1d(x, y, kind='linear', fill_value=\"extrapolate\")" ] }, { "cell_type": "markdown", "id": "9270b5ba-a43e-4100-8347-306ef72a01b5", "metadata": {}, "source": [ "## Question 2\n", "\n", "Evaluate the interpolator on a much finer grid than the original $t$ grid. " ] }, { "cell_type": "markdown", "id": "8839e7db-bb88-4ec8-97ad-5ae9e40b7a61", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 7, "id": "3298b19b-daf7-4532-b18e-1ef4c0dfa353", "metadata": {}, "outputs": [], "source": [ "# Now you can use `F_interp_t` to interpolate the function at any time `t_new`\n", "# Example:\n", "t_new = np.linspace(0, 1, 1001) # An example time point within the range\n", "f_value_at_t_new = F_interp_t(t_new) # Interpolated value at t_new" ] }, { "cell_type": "markdown", "id": "9df6c2f1-b6ac-41f5-b3ee-3c8b396c501e", "metadata": {}, "source": [ "## Question 3\n", "\n", "Show the results of question 2 in a plot, showing both the exact function and the predictions of the interpolator. " ] }, { "cell_type": "markdown", "id": "9badaf7e-2380-4ff8-8d44-88af07bd7d1f", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 9, "id": "efefdc3c-1b63-4abb-b2cd-86290b781907", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "# Plot the function\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(t, f_values, label=r'$f(t; a, b, c, d, e)$', color='blue')\n", "plt.plot(t_new, f_value_at_t_new, label=r'$F_{interp}$', color='red',ls='--')\n", "plt.xlabel('Time $t$')\n", "plt.ylabel(r'$f(t)$')\n", "plt.title(r'Time Series $f(t; a, b, c, d, e)$')\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "85856646-0a9c-4c07-89b1-f8cb6f154294", "metadata": {}, "source": [ "## Question 4\n", "\n", "Show the ratio of the interpolated values to true values accross the fine time grid. \n", "\n", "What do you observe? Does it make sense?\n" ] }, { "cell_type": "markdown", "id": "b7fe2eee-38ff-4b04-a31c-4a52b16cca06", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 11, "id": "5213cd30-28a0-4dbb-8eef-333fc938d953", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the function\n", "plt.figure(figsize=(10, 6))\n", "\n", "r = 100*(f_value_at_t_new-f(t_new, a, b, c))/f(t_new, a, b, c)\n", "plt.plot(t_new, r)\n", "plt.xlabel('Time $t$')\n", "plt.ylabel(r'relativ diff in %')\n", "\n", "plt.ylim(1,-1)\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f6366aae-fb92-44c0-bc64-ebc57c669128", "metadata": {}, "source": [ "## Question 5" ] }, { "cell_type": "markdown", "id": "dc6f8036-5092-40f3-86e6-dcef18a36821", "metadata": {}, "source": [ "Consider now all paramaters fixed except $a$ (and $t$). \n", "\n", "We assume the parameter $a$ can take values between 0 and 1.\n", "\n", "Generate 10 samples of $f$ (i.e., 10 time series) corresponding to linearly spaced values of $a$ spanning the interval.\n", "\n", "Store them in a `pandas` DataFrame and plot them with the `plot` method of the DataFrame. \n" ] }, { "cell_type": "markdown", "id": "c92b88e6-a605-4bb0-84ef-ac23a4e0296d", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 12, "id": "9ace8f4c-1547-4024-b109-63171dc11653", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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.................................
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1.000000-0.208073-0.0516290.0131720.0628960.1048150.1417460.1751350.2058390.2344170.261259
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100 rows × 10 columns

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" ], "text/plain": [ " 1 2 3 4 5 6 \\\n", "0.000000 0.500000 0.500000 0.500000 0.500000 0.500000 0.500000 \n", "0.010101 0.499898 0.530199 0.542750 0.552381 0.560500 0.567653 \n", "0.020202 0.499592 0.560023 0.585055 0.604262 0.620454 0.634720 \n", "0.030303 0.499082 0.589223 0.626560 0.655210 0.679363 0.700643 \n", "0.040404 0.498368 0.617551 0.666918 0.704799 0.736734 0.764869 \n", "... ... ... ... ... ... ... \n", "0.959596 -0.170695 0.097127 0.208063 0.293187 0.364950 0.428174 \n", "0.969697 -0.180154 0.062714 0.163313 0.240505 0.305581 0.362914 \n", "0.979798 -0.189539 0.026299 0.115702 0.184303 0.242137 0.293089 \n", "0.989899 -0.198847 -0.011895 0.065544 0.124964 0.175058 0.219191 \n", "1.000000 -0.208073 -0.051629 0.013172 0.062896 0.104815 0.141746 \n", "\n", " 7 8 9 10 \n", "0.000000 0.500000 0.500000 0.500000 0.500000 \n", "0.010101 0.574120 0.580067 0.585602 0.590801 \n", "0.020202 0.647618 0.659478 0.670517 0.680886 \n", "0.030303 0.719881 0.737572 0.754038 0.769504 \n", "0.040404 0.790305 0.813696 0.835468 0.855917 \n", "... ... ... ... ... \n", "0.959596 0.485333 0.537896 0.586821 0.632772 \n", "0.969697 0.414747 0.462413 0.506779 0.548448 \n", "0.979798 0.339154 0.381515 0.420943 0.457975 \n", "0.989899 0.259091 0.295782 0.329934 0.362010 \n", "1.000000 0.175135 0.205839 0.234417 0.261259 \n", "\n", "[100 rows x 10 columns]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "\n", "\n", "# Generate 10 linearly spaced values of `a` from 0. to 1.0\n", "a_values = np.linspace(0., 1.0, 10)\n", "\n", "# Generate samples and store them in a DataFrame with labels from 1 to 10\n", "f_samples_labeled = {str(i+1): f(t, a, b, c) for i, a in enumerate(a_values)}\n", "f_samples_labeled_df = pd.DataFrame(f_samples_labeled, index=t)\n", "f_samples_labeled_df" ] }, { "cell_type": "code", "execution_count": 13, "id": "9a2e50f2-386d-469a-ad55-5b65a2e8549d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f_samples_labeled_df.plot(legend=True)" ] }, { "cell_type": "markdown", "id": "e06fb7ea-a0a1-4be3-8d87-050e0b23194d", "metadata": {}, "source": [ "## Question 6 \n", "\n", "Create an interpolator that interpolates over $a$ (same range as previous question) and returns the full time series (i.e., values of $f$ for all time points) over the original time grid, i.e., $t$. " ] }, { "cell_type": "code", "execution_count": 8, "id": "d29a9b69", "metadata": {}, "outputs": [], "source": [ "t = np.linspace(0, 1, 100)" ] }, { "cell_type": "markdown", "id": "f912b872-8018-41b6-890d-d90adb708aba", "metadata": {}, "source": [ "Plot the result for $a=0.125$, like in question 3.\n", "\n", "Plot the ratio, like in question 4. " ] }, { "cell_type": "markdown", "id": "bb82a1e5-14da-4ba5-ad52-9e85281dc6d7", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 14, "id": "880f435d-41f6-4580-bfe9-b0f5f48e9c94", "metadata": {}, "outputs": [], "source": [ "from scipy.interpolate import RegularGridInterpolator\n", "\n", "# Convert the DataFrame to a 2D NumPy array with shape (len(t), len(a_values))\n", "f_values_matrix = f_samples_labeled_df.values # Shape: (100, 10) in this example\n", "\n", "# Create an interpolator across `a` and `t`\n", "interpolator = RegularGridInterpolator((t, a_values), f_values_matrix, method=\"linear\", bounds_error=False, fill_value=None)\n", "\n", "# Define a function that interpolates over a new `a` value\n", "def interpolate_f_over_a(new_a):\n", " # Create a mesh of (time, new_a) points\n", " query_points = np.array([(time, new_a) for time in t])\n", " \n", " # Interpolate at all time points for the given new `a`\n", " return interpolator(query_points)" ] }, { "cell_type": "code", "execution_count": 17, "id": "dbd6e638-55ab-4d3d-98e7-79941dcfaf50", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ap = 0.125\n", "# Plot the function\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(t, f(t, ap, b, c), label=r'$f(t; a, b, c, d, e)$', color='blue')\n", "plt.plot(t, interpolate_f_over_a(ap), label=r'F_interp_t', color='red',ls='--')\n", "plt.xlabel('Time $t$')\n", "plt.ylabel(r'$f(t)$')\n", "plt.title(r'Time Series $f(t; a, b, c)$')\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 18, "id": "d049af28-65e1-4277-bb84-74b49379516a", "metadata": {}, "outputs": [ { "data": { "image/png": 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l0oIFCzR16lTZ7XZTY0FsYMwgUOEeMyU1jZr+u8+UYLVo6U+ndvp4v/5gq/66ZK+uOaVId547KAQRIlCx9jzz5qoD+vl/N+n0gbn6wzfGHPO9DzeW6Mf/WqdxRZl64brxJkXY9cXamEFo/HHBdj3/6W5dObGXfnLeYL8f98zCHfrzJ7s0udCj311/luljpqamRv369eswL4iZhGn58uUqKSnRSSed5LvN7Xbr448/1h//+Ec5nU7ZbLZjHuNwOORwOI47Vk5OjjIyMsIe84m4XC6lpKQoNzfX9MGC2MCYQaDCPWbqVC+rI0XJiTbl5uZ2+nip6SWyOsqVmp4ZkuMhcLH2PJOWXierI0UpaenHjZnsnGZZHSmyJqUynsIo1sYMQiMlvbTl+T8tI6C/r9T0MlkdKUpM8kTFmPGev6NSnZhJmM455xytXbv2mNtuuOEGDR06VHffffdxyRIAILyczW5JksMe2udf9lOHvzytQ6Wti50Ea8ttzW7GE4DOiZmEKT09XSNHjjzmttTUlneNvnw7ACD8nM0eSVKiLTQNV2nFg0B5WpPrtsZOgq01YfKQMAHonJhrKw4AiA7ehMlh56UE5vCmQtY2ZphsrTNMbo8nghEB6IpiZoapLQsXLjQ7BACIW74leQkkTDCHd/lmW92AE1pvZEkegM7iVQ4AEBTfDFNCqGuYQno4dGGe1uV2bdYwsSQPQIiQMAEAguJ0tdYwhWqGiSImBMjX9KGN7yX4luSRMAFRJ8b+LEmYAABBaXJ7Z5h4KYE5/KlhcrmpYQJCLd5WAvAqBwAIitNFDRPM5athamOKyd7avZEZJiB8LHGyNIBXOQBAUMJWwxTSo6Er8/gSpvZnmKhhAqJIBxvERisSJgBAUELdVjxe3qlE6PhyoTaGzpGNa1mSB6BzSJgAAEHxthUP1ca1QKC8dRRtzTAltI5LZpgAdBavcgCAoDSxcS1M5jlBDRNd8gCECq9yAICgsA8TzGb4WcNkMKgAdAIJEwAgKN59mELVJS9Ga4FhIt8+TG11ybMeGZfMMgHRJdb+IkmYAABB8dUw0VYcJjF8CVMbM0y2I7dRxwSgM3iVAwAEpSlMS/IAf/lTwySRMAHoHBImAEBQjtQwhfalxIi5xRowiz81TJLkdjOmgFCKt78oEiYAQFC8S/JCtw8TEBhfDVMb3zt2hom9mIBwiJfaUxImAEBQwtUlD/CXdzayrRomi8VyTKc8AOaL1fyKhAkAEBRvlzyaPsAsnhNsXCuJhAlASPAqBwAISpM7TDVMXNvCTydq+iBJdu/mtdQwAegEEiYAQFB8NUzswwSTGCfYh0k6eoaJGiYgmsTaWxgkTACAoBzZuJYaJpjjRF3yJCnB1nKZw5I8AJ1BwgQACIq36QM1TDCL5wQb10pHOuU1syQPQCfwKgcACEpTmPZhAvzVUQ2TN2FyM8MEoBN4lQMABMVbw5QUsn2YKGJCYDqsYbK1fMNFDRMQUvHWnIeECQAQFPZhgtk6qmGyW1suc5hhAsIjXt7mImECAATFyZI8mKyjGiYbNUwAQoBXOQBAwJrdHt+79qFu+mDE21oPBK2jGibaigPRJVa3jyBhAgAErLLBJanlxS/NkRCSY8bqCynM45thamdhkJ224gBCgIQJABCw8tomSVJ2SqJvrxsg8vybYXKzJA9AJ/AqBwAIWHmtU5KUm5oY8mNzaQt/eVfaWdvJmBJYkgcgBEiYAAABK21NmPLSHCE7JivyEChvDVN7yzkTbN6EiTQcQPBImAAAAfMuyctNC/0ME+CvjmqYEmgrDiAESJgAAAErrwv9DBMQKMPPGiYXNUwAOoGECQAQMN8MUzhqmLi2hZ+8Y6W9jWu9NUxuapiAkDLirNqUhAkAELAybw1TeghnmOgrjgBRwwSYK16etkmYAAABKwvjDBPgL18NU7szTK37MLEkD0AnhGa3QQBAXPHWMOVSwwQTGYZ/NUzMMAHR4aIxPTS0MFU71i4zO5SAkDABAALmrWHKC0OXvHhbG4/gdVjDZKOGCYgmA/LT1DvLIecOsyMJDEvyAAABqW9qVn2TWxL7MMFcng5mmBLokgcgBEiYAAAB8c4uJdmtSkm0mRwN4pk3YWqv8tzGPkwAQoCECQAQEG+HvNxUR7vF9kAkHFmS1/b37XTJAxACJEwAgICEs35JYh8m+M/TQQ2Tr+mDmxomAMEjYQIABMS3B1OIO+QxWYVAddQl78jGtWThAIJHwgQACEh5XeseTGGaYQL8dWTj2va65LXuw0TCBIRWnP1JkTABAALiq2FiDyaYzHvN1t7kJDNMQHjFSx0rCRMAICBlvhqm8CRMXNrCX/7WMLmoYQLQCSRMAICAlPtqmEK7JM/CTkwIkK+GqZ2rGbuNtuIAOo+ECQAQEG+XvNxUluTBXEc2ru2gSx4JE4BOIGECAASkvM5bw0TTB5iroxb0CbQVBxACMZMw/elPf9Lo0aOVkZGhjIwMTZ48We+++67ZYQFAXHF7DFXUhbmGickA+KmjGaYEZpgAhEDMJEy9evXS448/ruXLl2vZsmU6++yzdckll2j9+vVmhwYAceNwfZM8RsueSdkp9pAeO06aLSGEOmz6QA0TgBBIMDsAf1100UXHfP2LX/xCf/rTn7RkyRKNGDGizcc4nU45nU7f19XV1ZIkl8sll8sVvmD94D2/2XEgdjBmEKhwjJlDlXWSpKxkuwyPWy6PO2THdrtbjuXxeBjnJom15xmPx9P60d1mzBaj5ftNzW1/H50Xa2MGoeFu/dtzuwP/24qmMeNvDDGTMB3N7Xbr9ddfV11dnSZPntzu/R577DE9/PDDx90+b948paSkhDNEv82fP9/sEBBjGDMIVCjHzJYqiySbHEaT5s6dG7LjStLWfS3H3rtnj+bO3RXSYyMwsfI8U15hk2TRyhUr5Nl9/CzS+pKWMXWw+FDIxyuOFStjBqGxY5dVklU7d+zU3LnbgzpGNIyZ+vp6v+4XUwnT2rVrNXnyZDU2NiotLU1vvvmmhg8f3u797733Xt15552+r6urq1VUVKTzzjtPGRkZkQi5XS6XS/Pnz9e0adNkt4d2WQu6JsYMAhWOMeNec1DasFZ9u+VoxoyTQ3JMrx0Ltkt7t6uod5FmzGh75QDCK9aeZ2bv+1yqqdKE8eM1bXjBcd93rTqgf2xfp5y8fM2YMd6ECLu+WBszCI01722WDu5W/wH9NWP64IAeG01jxrv6rCMxlTANGTJEq1atUlVVld544w1dd911WrRoUbtJk8PhkMNxfFGy3W43/RfkFU2xIDYwZhCoUI6ZyoaWZXN56UkhH4cJNpskyWq1MsZNFivPM0br3l12e0Kb8SYmttzm9igmfp5YFitjBqFha32+tnXi+Toaxoy/54+phCkxMVEDBw6UJI0fP15Lly7V7373O82aNcvkyAAgPnhbioerQx4QCN/Gte00DPF2yaPpA4DOiJkueW3xeDzHNHUAAIRXWY1301r2YIL5vGlQex0Wj7QVZx8mAMGLmRmme++9VxdccIF69+6tmpoavfLKK1q4cKHef/99s0MDgLjhm2FKD98ME/swwV/efZgs7e3DZGMfJgCdFzMJU0lJia699lodPHhQmZmZGj16tN5//31NmzbN7NAAIG6U1YZvhol9mBAo78RRu/swWVsW0jS7SZgABC9mEqbnn3/e7BAAIO55Z5hyqWFCFPB0UMNkp4YJQAjEdA0TACCyvDVM+WFMmFiSh0BZ1N4MU8vtLmqYAHQCCRMAwC/1Tc1qcLW0Fc9NC8eSPNbkITAdzTB5a5iYYQLQGSRMAAC/lLfWLyXZrUpJtJkcDSB586B2mz5QwwSEhRFnSwFImAAAfimrba1fSnUwG4So0NEMk4224kB4xclLAQkTAMAv3g554WwpLkmG4uudS3RCRzNMLMkDEAIkTAAAv5S3zjDlsWktokSHNUzeJXkkTAA6gYQJAOCX8rrWPZjC0PABCEbHNUytM0zUMAHoBBImAIBfSmvYgwnRxd8aJtqKA+gMEiYAgF+8M0x5YU6Y4qz5EjrBoIYJQASQMAEA/OKrYQrTkjwa7yFQBjVMACKAhAkA4BfvPky5qSzJQ3Tw5kHWDmqYDINZJgDBI2ECAPjFtw8TTR8QJbw1TO3NTtpsR77BXkwAgkXCBADokNtjqKI+QjVMYT06uhLvWLG0s3um3XrkMocZJiB04q3WlIQJANChw/VNMoyWd/KzU+xhOUd7F71Ae3w1TO1czdiOKm5y0VocCLl4ed4mYQIAdMhbv5SdkqgEGy8diA7+1jBJzDABCB6vegCADpWFuUMeEIyO9mGyWi2+71HDBCBYJEwAgA75Gj5EoENevK2NR/A8niNVTO3xtRZnSR6AIJEwAQA65GspHsYZJvZhQqC8KVB7M0zSkTomluQBCBYJEwCgQ+V13iV57MGE6GF0UMMkSQmtrcXZvBZAsEiYAAAdKqvxthSnhgnR40gN04mW5LUmTG5qmAAEh4QJANAh7wxTbgRmmAx2YoKfOtq4VpJs3homZpgABImECQDQoTJvDVNqGGuYwnZkdFXeJXknSpjsNmqYgFCLt78mEiYAQId8XfKoYUIU8aeGydv0wcWSPCDk4qVZDwkTAKBD3i55+SRMiCKB1DAxwwQgWCRMAIATqm9qVoPLLSm8bcV9uK6Fn/ypYUqwUcMEoHNImAAAJ+SdXUqyW5WSaAvbeeJlaQdCx7dt7YkSJl+XPBImAMEhYQIAnFCpt34p1SELWQ2ihGEYAdUwNXuoYQIQHBImAMAJeWeY8tKpX0L0MI6aMKKGCUA4kTABAE6ovHWGKS+MLcWPxmUt/OE5KmOy+lHD5GJJHoAgkTABAE6ovK51D6YwN3ywsBMTAnB0+nOisWNjhglAJ5EwAQBOqLSmdYaJluKIIkfPMFlOcDWTQA0TgE4iYQIAnNCRGSYSJkQPv2uYWpfkMcMEhI4RZ39OJEwAgBPy1TBFYg8mtXQ/Azridw0TbcWBsImXhdQkTACAEyo7qq14ONGxHIE4Oq/2p4aJjWsBBIuECQBwQkfaikdmhgnwxzE1TCdItu02b9MHapgABIeECQDQLrfHUEV9aw1TmGeYvJgHgD88ftYw2ay0FQfQOSRMAIB2Ha5vkmG0vIOfnWI3OxzAxwiwhommDwCCRcIEAGiXt34pOyXR120MiAbH1DCdqEseNUwAOolXPwBAu3z1SxHqkAf4y+8ueTZvlzxqmAAEh4QJANCuSHXIOxpdxeEPj58zTHTJA9BZJEwAgHZ5Z5hyIzDDdKKLXuDLvDVMJ5pdkqQEKxvXAqFmxFl7HhImAEC7ynyb1kZuhgnwh/dyraNE21vD5KKtOBBy8fI+FwkTAKBd1DAhWnn8nGGyefdhoq04gCCRMAEA2lVe11rDFMEZJi5r4Q/vCruOZpjsrUvyqGECECwSJgBAu8q8NUypEahhCvsZ0JV4PH7OMPmaPrAkD0BwSJgAAO3y1TClU8OE6GTpINVm41oAnRUzCdNjjz2mk08+Wenp6SooKNCll16qzZs3mx0WAHRpvhqmCLYVB/wRaA1TMzVMAIIUMwnTokWLdOutt2rJkiWaP3++XC6XzjvvPNXV1ZkdGgB0SfVNzWpwuSVFpq24l8FGTPCDd8LISg0TgDBLMDsAf7333nvHfD179mwVFBRo+fLlOvPMM02KCgC6rpLqluV4SXarUhJtYT9fvLSnRWh4Z5g6GjdsXAugs2ImYfqyqqoqSVJOTk6793E6nXI6nb6vq6urJUkul0sulyu8AXbAe36z40DsYMwgUJ0dM5sOVkqS+uWmqrm5OVRhtcvtbpnNMjwG49wksfQ843K1jEmL5cTxWtTS7MHV7I6JnyvWxNKYQeh4WpuoeNyegH/30TRm/I3BYsTg2gePx6OLL75YlZWV+uSTT9q930MPPaSHH374uNtfeeUVpaSkhDNEAIh58/db9N89Nk3I8+iaQeHvMLbooEVzdtk0Ltej6wfT0QwnVlwvPbY6QakJhn55srvd+312yKJXd9g0Ktujm4YyroBQ+NdOqz4utmpaT4++0jt2/67q6+t15ZVXqqqqShkZGe3eLyZnmG699VatW7fuhMmSJN1777268847fV9XV1erqKhI55133gn/UyLB5XJp/vz5mjZtmux2u6mxIDYwZhCozo6ZD15fI+0p1pRxQzTjzH5hiPBYpYt3a86uzerevbtmzBgT9vPheLH0PLPlUI20erEcjkTNmDG13fvVLd+vV3esV25+gWbMOCmCEcaHWBozCJ3l72zSx8V7NHDgAM04d1BAj42mMeNdfdaRmEuYbrvtNv33v//Vxx9/rF69ep3wvg6HQw7H8Z2d7Ha76b8gr2iKBbGBMYNABTtmtpa0NNUZ3jMzImMuwdZSJ2WxWhnjJouF5xmrreUSxmo58Xhx2Fvu55El6n+mWBYLYwahY21tpmKz2oL+vUfDmPH3/DGTMBmGoe9///t68803tXDhQvXrF/53OwEgXrncHu0obUmYBhemmxwNcDxvQUFHTR8SbN59mGJ32RAAc8VMwnTrrbfqlVde0b///W+lp6eruLhYkpSZmank5GSTowOArmV3eZ2a3B6lJtrUM4vnWEQff/dhSmh9J9zFPkwAghQz+zD96U9/UlVVlaZMmaLu3bv7/r366qtmhwYAXc7m4lpJ0uBu6bJEut8317Xwg+HnPkzetuJu2ooDCFLMzDDFYDM/AIhZmw/VSJKGRHA5XsQTM8S0IzNMHWxca2MfJgCdEzMzTACAyNlS3JIwUb+EaOVv+uPbuNZNDROA4JAwAQCOs8U7w9SNhAnRyTfD1MGVjLeGiSV5AIJFwgQAOEajy61d5eZ1yDMoYoIfDD+X5CWwJA9AJ5EwAQCOsa2kVh5DyklNVF5aYsTOSwkTAuHxs+lDQuuSPBdL8gAEiYQJAHAM73K8wYVpNGJA1PLtw9TB/bJSWjamrKhrCm9AQByKl5cIEiYAwDHM6JAHBMpbw9TRBVt+epIkqaaxWY0ud7jDAtAFkTABAI7h65BnUsMHdpGAP/xtK56RlCBHQsvlTkm1M+xxAeh6SJgAAMfYcqhl09pIzzDFycoOhIi/G9daLBYVZDgkSSU1jeEOC0AXRMIEAPCpaXRpf2WDJGkQS/IQxXw1TH5k2gWty/JKaphhAhA4EiYAgI93dql7ZpIyk+2mxMCSPPjjSA1TxxlTQXrrDFM1M0wAAkfCBADwOdIhz4TZpXhpt4SQOFLD1PF9fQkTM0wAgkDCBADw2dza8GGISQ0fAH/5W8MkSQUZLMkDEDwSJgCAj6kzTEAADPnXVlyS8plhAkLKiLO10yRMAACfLVGwB5P3Qhg4EY+n5SM1TIB54mUhNQkTAECSVFbrVFltkywWaWBBWsTPHy8vvAiNwGqYWpbklTLDBCAIJEwAAElHZpf65KQoOdFmcjTAiXkCqmFqmWEqr2uSy+0JZ1gAuiASJgCAJGlLMfVLiCX+zzDlpCQqofWOZbXMMgEIDAkTAECStLl1DyazO+TFWS0xguSdYbL4sZjTarUoL81bx0TCBCAwJEwAAEnmd8hjGyYE4sjGtf7d37ssj055AAJFwgQAkGEYviV5Zs8wAf4IpIZJOnrzWjrlAQgMCRMAQAerGlXjbJbdZlHf3FSzwwE65N0HxurnlUx+a6c8luQBCBQJEwBAm1uX4/XPS1NigrkvDZQwwR9GADVM0tEzTCRMAAJDwgQAONIhz8TleP5e+AJS8DVMpSzJAzot3t7YImECAPhmmIYURn7DWiAYgdcwtS7JY4YJCJ046dZDwgQAML1DHhAoXw2TvzNM6bQVBxAcEiYAiHNuj6GtUbIHk8Q+TPCPr4bJz3e4CzNaZpjKap3yeBhkAPxHwgQAcW5PRb2czR4l2a0qyk4xLY44WdmBEPEEOMOUl5Yoi0Vq9hiqqG8KY2QAuhoSJgCIc5uLjyzHs/p79QmYzBPgDFOCzarc1ERJ0qFqGj8A8B8JEwDEOeqXEIsMBTbDJB21FxONHwAEgIQJAOLckQ550ZIwUV+CjnkC3IdJOtL4oZTGDwACQMIEAHEuGvZgksQuTAiIr0teAFcyRzavZUkeAP+RMAFAHHM2u7WzrE5SNM0wAR3zdrrzt4ZJOrJ5LUvyAASChAkA4tiO0jo1ewxlJCWosPViEogF3oWb/m5cKx21eS1L8oBOibftH0iYACCOLdlRLkka2TMzoHfqwyneXogRnCM1TP5jSR4QWtHxqhF+JEwAEMcWbi6VJJ01ON/kSNiHCYExAtyHSWJJHoDgkDABQJxqdLl9M0xThhSYHA0QmCMb1waxJK/G6Uu4AKAjJEwAEKcW7yiXs9mjHplJGlyYZnY4QEAC3bhWkvJbl+Q1NXtU3dAcjrAAdEEkTAAQpxZ5l+MNKYia+iWJXZjgH8OXMPn/mCS7TRlJCZKoYwLgPxImAIhTCzaXSJKmDDG/fkkKbANSwBNEDZMkFWQcWZYHAP4gYQKAOLSzrE67y+tlt1l02sA8s8MBAmYEUcMk0SkPQOBImAAgDi1snV2a0CdHaY4Ek6MBAhdMDZN0VMLEXkwA/ETCBABxyNtOfOrQ6FiOdzS6l8EfwdQwSSzJA0LBiLNqUxImAIgzDU1uLY7GduKUMCEAQdcwpbMXExAqUdQvKKxImAAgzizZUa6m1nbigwpoJ47YFGwNU75vSR41TAD8Q8IEAHHGW78Ube3EveJroQeC5a1hCrzpQ8uSvFJmmAD4iYQJAOLMwi2t9UtR0k7cK/pSN0SzYGsoCjJYkgcgMCRMABBHjm4nfirtxBHDgp9hakmYap3Nqm9qDnVYALqgmEqYPv74Y1100UXq0aOHLBaL3nrrLbNDAoCYsmBTy3K8k/vSThyxLdimD2mOBCXbbZJoLQ7APzGVMNXV1WnMmDF6+umnzQ4FAGKSdznelChbjnc0uorDH95xYg0wY7JYLCpkWR6AAMTU24sXXHCBLrjgArPDAICY1NDk1pJobCfeKhobUCB6ebvkBTNqCtKTtKu8XiU1dMoD0LGYSpgC5XQ65XQeefeourpakuRyueRyucwKyxfD0R+BjjBmEKgvj5lPtpb62on3zXZE3Vhyu1vqSQzDE3WxxYtYep5pdnskBTde8tLskqSDlfUx8bNGs1gaMwgdj6fl78/jDvzvL5rGjL8xdOmE6bHHHtPDDz983O3z5s1TSkqKCREdb/78+WaHgBjDmEGgvGPmjZ1WSVb1TarXu+++a25QbVhTYpFkU2lpqebOnWt2OHEtFp5ndrSO5x07dmju3G0BPbaurOWxS1ZtVMHh9WGJL97EwphB6Oze3fI3tGXrFs1t3BzUMaJhzNTX1/t1vy6dMN1777268847fV9XV1erqKhI5513njIyMkyMrCWjnT9/vqZNmya73W5qLIgNjBkE6ugxk5CQoKd+84mkBl1zzkk6d1j0LclrXLlff9++Xnl5+ZoxY7zZ4cSlWHqeWfbOJql4jwYNHKAZ5w4K6LF7P96pRcVblZ7fUzNmjApThPEhlsYMQmfJfzbo00P7NHjwYM2YOiCgx0bTmPGuPutIl06YHA6HHA7Hcbfb7XbTf0Fe0RQLYgNjBoGy2+3aW+nU3sMNstssOmNIoez26Hv6T7C1xGSxWhnjJouF5xlvO/EEmy3gWLtntawyKatzRf3PGStiYcwgdKzWlr5xNmvgf39e0TBm/D1/THXJAwAEZ+Hmlu54E/vRThxdg3cfpmCahRzZvJamDwA6FlOvmrW1tdq27cg65Z07d2rVqlXKyclR7969TYwMAKKbr5344OhbigcEI9h9mKSWLnkSbcUB+CemEqZly5Zp6tSpvq+99UnXXXedZs+ebVJUABDdjm0nHr37L3kZbMQEP3hnmKzBzDClt8wwVda75Gx2y5FgC2VoALqYmEqYpkyZwgspAATos+3lamr2qGdWsgYWpJkdTrvYhgmBCX4fpqwUuxJtVjW5PSqtcapXdnR0zgUQnahhAoAu7h/L9kmSzh/Zjc1h0WW0bgMjaxBr8iwWi/LTvXVMLMsDcGIkTADQhZU0SIu2lMlika45pY/Z4QAh461hCvY9AF/CVE3CBODESJgAoAv7X3HL0/zZQwrUNy/V5GiA0OlMDZN0pI6plE55QMDirUCGhAkAuqiaxmZ9XtJyMXn9aX3NDcYPrBZEIIxO1DBJR7cWZ4YJCFa8PG+TMAFAF/Wvlfvl9Fg0ID9Vpw/MMzscIKSMTs8wtbYWZ0kegA6QMAFAF+TxGPrrkj2SpGtP6U2zB3Q5na1hKkhn81oA/iFhAoAuaOGWEu2paFCyzdClY7ubHU5A2D0C/uh0DRNL8gD4iYQJALqgFz/dJUk6pcBQSmJsbLlnCboaBfHIuy9jEF3FJR21JI+ECUAHSJgAoIvZVlKj/20tk9UindHNY3Y4QFh4ZyKDXW7qXZJXXuuU28O0JoD2kTABQBcz+7NdkqRzhhYoN8ncWIBw8XRyhik3zSGrpWVpX3kts0wA2kfCBABdSFWDS/9avl9SS7OHWGTE3Q4fCMaRpg/BZUw2q0W5adQxAegYCRMAdCGvLd2rBpdbQwrTNalfttnhBIRGfghEZ9uKS3TKA+AfEiYA6CLcHkMvLd4lSbrhtL60EkeX5vHVMAV/jMIM9mICghFv3UxJmACgi/hw4yHtO9ygrBS7Lhnb0+xwgLDqbJc86egZJhImIBjx8rYcCRMAdBHeZg/fOLm3khNt5gbTCfH2ziWC09kaJokleQD8Q8IEAF3A5uIafba9XFaLdM3kPmaHA4SdN6/uTA1TPkvyAPiBhAkAuoBfvb9JkjR9RDf1zEo2ORog/Hw1TJ04hneG6RBL8gCcAAkTAMS4+RsO6YONJUqwWvSj8wabHU6nsSQP/vDVMHXiSsabMJVWsyQPQPtImAAghjU0ufXQf9ZLkm4+s78GFqSbHFHw6OqHQBzZuDb4cdMts3VJXo1TjS53SOIC0PWQMAFADHt6wTbtr2xQz6xkff/sgWaHA0SM4Wsr3omEKSNJeWkONXsMrdlXFaLIAHQ1JEwAEKO2l9Zq1sfbJUkPXDRcKYkJJkcERI6vS14njmGxWDSxdYPnpbsqQhAVgK6IhAkAYpBhGHrw3+vlchuaOiRf5w0vNDukkDFEERM65m360JkleZJ0ct8cSdIXO0mYALQt6Lcjm5ubNWvWLC1cuFBut1unnXaabr31ViUlJYUyPgBAG/675qA+2VYmR4JVD188skvU/8T+T4BICsXGtdKRhGnF7sNyewzZOntAIC7E1xtbQSdMP/jBD7RlyxZddtllcrlcevnll7Vs2TL94x//CGV8AIAvqWl06ZH/bpAk3TJloHrnppgcERB5oahhkqRh3TOU7khQjbNZGw9Wa2TPzBBEB8SHLvBenV/8TpjefPNNffWrX/V9PW/ePG3evFk2W8tu8tOnT9cpp5wS+ggBAMf47QdbVVLjVN/cFH3nrP5mhwOYwlfD1MkLNpvVopP6ZGvRllIt3VVBwgTgOH7XML3wwgu69NJLdeDAAUnSSSedpO9+97t677339Pbbb+uuu+7SySefHLZAAQDSxoPVmv3ZLknSw5eMVJLdZm5AYcA+TPBHqGqYJGliv5ZleTR+ANAWvxOmt99+W9/85jc1ZcoU/eEPf9Bzzz2njIwM/exnP9P999+voqIivfLKK+GMFQDimsdj6L631sntMTRjVDedNTjf7JBCKl6WdiA0QlXDJB3d+OGw77gA4BVQl7wrrrhCX3zxhdauXavp06fr6quv1vLly7Vq1So9/fTTys/vWi/eABBN/rl0r5bvPqyURJvu/8pws8MBTOVNa0IxwzS6V6YSbVaV1Tq1q7y+08cD0LUE3FY8KytLzz33nH71q1/p2muv1U9+8hM1NjaGIzYAQKsVew7rof+slyTdce5gdc9MNjkiwFweX9eHzh8ryW7TmKKW2qWltBcH8CV+J0x79uzRzJkzNWrUKF111VUaNGiQli9frpSUFI0ZM0bvvvtuOOMEgLhVXNWo7/x1uZrcHp03vFA3nt7P7JDCigVR8IfH0/IxFDNM0lHL8qhjAvAlfidM1157raxWq371q1+poKBA3/nOd5SYmKiHH35Yb731lh577DHNnDkznLECQNxpdLn17b8uU2mNU0O7pes3V4yVtYvuE2NhJyYEwBPCGiZJOpnGDwDa4Xdb8WXLlmn16tUaMGCApk+frn79jrzDOWzYMH388cd67rnnwhIkAMQjwzB097/WaM2+KmWn2PXnayco1RH09nlAlxSqGabxfbJlsUi7y+tVUt2ogoykkBwX6IrirTeK3zNM48eP1wMPPKB58+bp7rvv1qhRo467z7e//e2QBgcA8ezZRTv071UHlGC16Jmrxqsohw1qAS/fPkwhOl5Gkl3DumVIYlke4K/ObhwdK/xOmF5++WU5nU7dcccd2r9/v2bNmhXOuAAgrn206ZCefH+TJOnBi0do8oBckyOKoDh75xLB8e7DFMoLNt9+TDR+AHAUv9d29OnTR2+88UY4YwEASNpWUqMf/GOVDEO6alJvXXNKH7NDiog4eaMSIRLqGiappfHD7M926Ytdh0N3UAAxL+C24gCA8Kmsb9JNLy1TrbNZk/rl6MGLRpgdEhCdWmeYQtkE5eR+2ZKkTcXVqmpwhey4AGIbCRMARImqepe+NXupdpXXq1d2sp656iQlJvA0DbQl1DVMklSQnqS+uSkyDGnFbmaZALTglRgAokBpjVNXPLdYK/ZUKiMpQX++doJy0xxmh2UKgyIm+CEcNUwS+zEBOJ5fCdOaNWvk8e4QBwAIqX2H6zVz1mJtKq5RfrpDr313soZ1zzA7rIijhAmBCEcNk3TUfkw0fgDQyq+Eady4cSorK5Mk9e/fX+Xl5WENCgDixbaSWn392cXaWVannlnJev07kzW0W/wlS0CgvPvAhGofJq+JrTNMa/ZVqdHlDumxAcQmvxKmrKws7dy5U5K0a9cuZpsAIATW7a/SzFmLdbCqUQML0vSv752qvnmpZocFxATDW8MU4hmmPrkpyk93qMnt0eq9laE9OICY5Fdb8a997Ws666yz1L17d1ksFk2YMEE2m63N++7YsSOkAQJAV/TFzgrdOHupapzNGtUzUy99a6JyUhPNDisqxNsO8giOJ0wzTBaLRRP75uidtQe1dFeFJvWPoz3QAD/F2/O0XwnTc889p8suu0zbtm3TD37wA918881KT08Pd2wA0CV9uPGQbvn7CjmbPZrUL0d/uW6C0pPsZodlOvZhQiA8YZphkqST+2brnbUH2Y8JgCQ/E6Y1a9bovPPO0/nnn6/ly5frhz/8IQkTAATI5fboqXmbNWtRy0z82UML9MxVJynJ3vaMPYD2ed/gDvUMk3Sk8cOK3Yfl9hiyhbqzBICYEnDTh0WLFqmpqSmsQQFAV7O3ol5ff3axL1m65pQ+mnXNeJIlIEjhqmGSpKHdMpTuSFCts1kbD1aH/gQAYgpNHwAgzN5de1Azfv8/rdrbssfSs1efpEcuHSm7ja3w2hJnS+MRpHDVMEmSzWrR+L7ZklrqDQHEN5o+AECYNLrcevSdDfrbkj2SpHG9s/T7b4xTUU6KyZFFK5Y9wX/h2ofJ6+S+OVq4uVRLd1XoW6f3C89JAMSEmGv68PTTT+tXv/qViouLNWbMGP3hD3/QxIkTTYkFANqzraRGt72yUpuKayRJ35syQHdOG8ysEhAi3i5dljB1C5no3cB2V4UMwwjbeQBEP78SJkk6//zzJcnUpg+vvvqq7rzzTj377LOaNGmSfvvb32r69OnavHmzCgoKIh4PAHxZnbNZTy/Ypr/8b6ea3B7lpSXq1zPH6szB+WaHBnQpvi55YTr+6F6ZSrJbVVbbpKW7DvsSKADxJ+C3Ol988UXTZpd+/etf6+abb9YNN9yg4cOH69lnn1VKSopeeOEFU+LpjDdW7NeeWrOjABAqhmHoP6sP6Jz/W6RnFm5Xk9ujKUPyNfeHZ5AsBciItw0+EBQjjDVMkuRIsOmr43pKkp7/hHIDIJ75NcN02WWXafbs2crIyNBll112wvvOmTMnJIF9WVNTk5YvX657773Xd5vVatW5556rxYsXt/kYp9Mpp9Pp+7q6uqXTjcvlksvlCkuc/qisd+mhtzfK2Zyg98sX68qJvfWVUd2UnEi3LLTPO2bNHLto2+biGv38nU2+PVt6ZSfrvguG6Oyh+bJYLKb9zmJtzHjcbkktCVOsxNzVxNKY8c4wud3NYYv3mklF+scXezVvwyFtP1Sl3tQfHieWxgxCx2O0NIDzuN0B/+6jacz4G4NfCVNmZqZv7W5mZmbwUXVCWVmZ3G63CgsLj7m9sLBQmzZtavMxjz32mB5++OHjbp83b55SUsx70jvslEZmWbWq3KJ1B2r007fW65G312livqHTunlUmGxaaIgB8+fPNzsEtKpvlt7da9UnxRZ5ZJHdamhaT4+mdq+Rc+cyvbvT7AhbxMqYWVNhkWTT4cOVmjt3rtnhxLVYGDPNzTZJFi1auFC5SeE7z9BMqzZVWfXzf3ysy/rRJbg9sTBmEDp79lglWbV5y2bNrWv7Orwj0TBm6uvr/bqfXwnTiy++2Obn0e7ee+/VnXfe6fu6urpaRUVFOu+885SRkWFiZNJMl0tvzp2viszBenXFQe073KBFxRYtKrbqlH7Z+ubJRTpnaL4c7NGCVi6XS/Pnz9e0adNkt9vNDieuVTW49PLiPXppyW5VNTRLks4fUah7zh+snlnR845HrI0Z+4YSPb95lbKyszRjxiSzw4lLsTRm7lr6geTx6Jyzp6pHGP/u0geV6Vsvr9CyCrt+c+OZSk+K7v+XSIulMYPQ+d+b6/V56X4NHTJUM84MrItkNI0Z7+qzjvjd9MFseXl5stlsOnTo0DG3Hzp0SN26dWvzMQ6HQw6H47jb7Xa76b8gSUqzSzOnDNSt5wzVoq2l+vuS3fpoU4mW7DysJTsPKz0pQReO6q6vjuupk/vmyMpO41D0jN94VFrj1POf7NTfluxWrbMlURpUkKaHLh6h0wbmmRxd+2JlzCQktLxBZLFYYiLeriwWxoy3hincsU4d1k2DCtK0taRWc1YV66Yz+oftXLEsFsYMQsd7TWq1WYP+vUfDmPH3/H4lTOPGjfO7neaKFSv8ul+gEhMTNX78eH344Ye69NJLJUkej0cffvihbrvttrCcM1KsVoumDinQ1CEF2l/ZoH98vkdzVuzTgapG/XPpXv1z6V71zErWpeN66KvjemlgQZrZIQNx5UBlg577eIf+8cUeOZtbluQM7Zau284eqAtGdpeNNzOAiDuyD1N4//4sFou+dXo/3TtnrV78dJeuP7WvEtgeAIgrfiVM3gRFkhobG/XMM89o+PDhmjx5siRpyZIlWr9+vW655ZawBOl155136rrrrtOECRM0ceJE/fa3v1VdXZ1uuOGGsJ43knpmJevH04fozmmDtWRnud5auV/vri3W/soGPb1gu55esF0je2bogpHddf7IbhqQT/IEhINhGFq7v0p/W7Jbb67cL5e75eJsbFGWbps6UOcMK2BfFsBE4d649mhfHddTT763SfsrGzR/wyFdMKp7+E8KIGr4lTA9+OCDvs9vuukm/eAHP9Ajjzxy3H327t0b2ui+5IorrlBpaakeeOABFRcXa+zYsXrvvfeOawTRFVitFp06IE+nDsjTzy8ZqQ82HtKbK/Zr0ZZSrdtfrXX7q/Wr9zdrUEGazh/ZTdNHdNOIHhlcwAGdVN3o0r9XHdA/v9ij9QeOrG0+pX+Obps6SKcNzOXvLMzoKg5/eIdJJP4ek+w2XTWpj/64YJue/2QnCRMQZwKuYXr99de1bNmy426/+uqrNWHChLDviXTbbbfF/BK8QCXZbfrK6B76yugeKq916v31h/T++mJ9tr1MW0tqtfWjbfrDR9vUKztZ00d009QhBTq5X7YcCTSMAPxhGIZW7a3UP77Yo7dXH1SDq6W9daLNqgtGddM1p/TRhL5sWhluJKLwl2EYvsQ6UsPm2sl9NOvj7Vq2+7BW763UmKKsyJwYgOkCTpiSk5P16aefatCgQcfc/umnnyopKYx9PSFJyk1z6MpJvXXlpN6qanBpwaYSvbeuWAu3lGjf4QY9/8lOPf/JTiXbbTp1QK7OGpKvKYML1DuXvSOAL9tRWqu5aw/q7dUHtflQje/2gQVp+ubE3rpsXE9lpyaaGCGAthw9CxnuGiavgowkXTS6h+as3K/nP9mp339zXETOC8B8ASdMt99+u773ve9pxYoVmjhxoiTp888/1wsvvKD7778/5AGifZnJdl06rqcuHddTDU1uLdpSqvkbDunjraUqrXHqw00l+nBTiaT16peXqrMG52vygFxN6pejrBQuAhGftpXUaO7aYs1de1Cbio8kSY4Eqy4c3V3fnNhbE/pkM9sBRDHPURlTJHuufOv0fpqzcr/mrj2oe2cMVffM6NlGAED4BJww3XPPPerfv79+97vf6W9/+5skadiwYXrxxRc1c+bMkAcI/yQn2nT+yG46f2Q3GYahDQertWhLqRZtLtXy3Ye1s6xOO8vqNPuzXbJYpKHdMnRK/xyd0p8ECl2b29PSvGHBphK9u+6gthyq9X0vwWrRaQPzNGNUN50/orsyU2iJGw0oYUJHjh4jkXxzY2TPTE3ql6PPd1bopc92654Lhkbs3EA0ibda06D2YZo5cybJURSzWCwa0SNTI3pk6pYpA1Xd6NJn28r1v62l+nxnhbaV1GrjwWptPFitFz9tSaCGFKZrQt9sndQ7W+N6Z6tvbgrvsCNmFVc16uMtpVq0tVSfbitTZb3L9z27zaLTB+Zpxqjumja8kDcLogjPOPDX0TNMkX6puvH0fvp8Z4X+8cUe/eCcgUpJjJktLYGQs8TJMzd/5XEgI8num32SpJKaRn2xs0JLdpRryY6WBGpTcY02Fdfob0v2SJKyU+wa1ztb44qyNK53tkb1zOTdd0StiromLdtVoS92VujjraXHzCJJUnpSgk4bkKdpwwt17vBCZSYzloFYZkYNk9c5wwrVJzdFu8vr9a/l+3TN5L4RPT+AyCNhikMF6Um+rnuSVFrj1NJdFVqx+7BW7q3U2v1VOlzv0kebSvTRphLf44pykjWyR6ZG9MjQiJ6ZGtkjU/npDrN+DMQpwzC0q7xeS3dVaPmuw1q6u0I7SuuOuY/FIo3ulaWzBuXpzMH5GluUxUaTQBdiVg2TJNmsFt1wal899PYGvfDpLl01qY+sbF4NdGkkTFB+ukMzRnXXjNZ9JZqaPdpwsFor9xzWij2VWrnnsPYdbtDeipZ/764r9j22IN2hYd0zNLgwTYML0zWkW7oGFqSxRAEhYRiGDlY1au3+Kq3fX6V1B6q1Zl+lymqbjrvvwII0TeiTrdMG5un0gXl0t4tl8bY4HgEzc4ZJkr4+oUj/N3+LdpbV6eXFu3T9af0iHgOAyOGqFsdJTLBqbFGWxhZl6YbTWm6rrG/ShgPVWnegSusPVGvd/irtKKtTSY1TJTWlWrSl1Pd4i0Uqyk7R4MI0DSxIV/+8VPXLT1W/vFTlpiZSG4U2Nbrc2lFap60lNdpcXNOSJB2oVkXd8clRos2q0b0yNaFvjib0ydb4PtkkSF0ATw3wl8fkpDrVkaCfTB+iB/69Xr98d5NOHZinwYXppsYEIHxImOCXrJREnTowT6cOzPPdVuds1qbiam0urtWWQzW+f2W1TdpTUa89FfX6YGPJMcdJT0poSaDyUtUnN1VFOSkqyk5WUU6KCjOSZGNZQ5dmGIYq613aXVGvHaW1LRsvH6rVtpIa7amol6eNa6AEq0WDCtM1skeGRvbM1MieGRrRI1NJdjZmBuKVx+QZJkm65pQ+WrCpRAs2l+oH/1ipf992GhvGA12UXwnTnXfe6fcBf/3rXwcdDGJLqiNB4/vkaHyfnGNuL691asuhliRqR2mtdpTVaUdpnQ5UNaimsVmr91Vp9b6q445nt1nUKztFvbKT1Ss7RT0yk9QtM0k9spJbPmYmKzmRF6No52x2q7iqUfsrG7SvokG7K+q0q7xee8rrtbu8TtWNze0+NjPZrsGFaa0JUktyNLgwneQIwDEME2uYvCwWi568fIzO/+3H2lRco1+9t1n3fWW4OcEACCu/EqaVK1f6dTCWWkGSctMcmpzm0OQBucfc3uhya3d5vXaW1Wp7aZ32ts5C7T1crwOVjXK5Dd9+Ue3JSrGrW0aS8tMdKkhv+djyucP3eW5qojKS7BThhpjHY6iywaXSGmfLv9pGldY4dbCqUQcqG1o/Nqqs1tnhsQozHOqTm9qSHBWka1BBS5KUl8aSTbAPEzpmdg2TV366Q09ePlo3vrRMf/lkp6YMKdDpg/I6fiCAmOJXwrRgwYJwx4E4kGS3aUi3lsYQX9bs9uhgVaP2Hq7XvooG7atsUHFVwzEX4/VNblXWu1RZ79Km4poTnstmtSg7xa7slERlpyYqN7XlY2ayXZnJdmUk2Y98npygzGS70hwJSnUkyJFg7dIX7YZhqNHlUU2jS9WNzappdKmmsVmH65tUWe/S4fomHa5r0mHv5/VNKq9tUlmtUy63f5eySXaremQlq2dWsvrkpqhPTmrLx9xU9c5JYaYQberCf3YIMTP3Yfqyc4YV6upTeutvS/boR6+v0ns/PJOaSqCLCbqGadu2bdq+fbvOPPNMJScnyzCMLn2RifBKsFlb6plyUqQBx3/fMAxVNzaruKpRB6saWmc4nL7ZjpIap8paP69xNsvtMVRW29RmN7UOY7FalOpIaE2gbEp1JCgl0aZku01Jrf+S7TYlJ9qUlGCVw26T3WZRos0qe4JVdptVjtaPNqtFNotFNqtF1tbPrVa1frS0/mxHfkYvj9FyQdDsMeT2eNTsNuR0NWtlmUWu1QflNlq6GTqbPWpye+R0HfnY4GpWfZNb9U1uNTS5Vd905GtvctTcVrGQn7JT7MfO7mU41DMrWd0zk9U9M0k9s5KVlWLn+QBA2Bz9FBYNzzU/mzFci7eXa3tpne6ds1Z/uvqkqIgLCJd4WwkQcMJUXl6umTNnasGCBbJYLNq6dav69++vG2+8UdnZ2fq///u/cMSJOGexWHwzQm3NUB2tqdmjw/VNqqhrmSkprzsyS1Ld6FJVg0vVDS5VNzSrqsHl+9fgckuSmj2G77boY5O2rg3JkawWKc2RoPQku9KTElpn4+zKSklUTkqisnwzdHblpXmXOzqUmMB+RgDM5X2DKVpWXicn2vS7b4zTV5/5VO+tL9bry/Zp5slFZocFhF28vC8QcMJ0xx13yG63a8+ePRo2bJjv9iuuuEJ33nknCRNMl5hgVWFGkgozkgJ6nNtjqK6pWXXOln+1Tnfrx2Y1ulpmaxpcbjW6PK0fW25ravbI5W6Z4fF+7nIbLZ97PC2zRR5Dbo8hj9Hy0W0YMgzJ9zxjOeaDLBaLEqwtM1Pej1aLVHm4QgX5eUqytywdTEywKtFmlcNuVaLNpsQEq1ISbS0zYq0fUxITfLelOVqSo4xku1ITbbwDiqjENkzoiHeImFm/9GUje2bqzmlD9MR7m/TQ2+s1sV+O+ualmh0WgBAIOGGaN2+e3n//ffXq1euY2wcNGqTdu3eHLDAg0mxWizKSWuqbopHL5dLcuXM1Y8YE2e3RGSPQGRZFz8Uvopu3himK8iVJ0rfP7K+Fm0v0+c4K/fDVVXrju5NltzErD8S6gP+K6+rqlJKSctztFRUVcjgcIQkKAACgPd4apmibJbdZLfrNFWOVkZSg1XsrdevfV8jZ7DY7LACdFHDCdMYZZ+jll1/2fW2xWOTxePTkk09q6tSpIQ0OAADgyzye6KphOlqPrGT9/pvjlJhg1bwNh/Ttl5er0UXSBMSygJfkPfnkkzrnnHO0bNkyNTU16a677tL69etVUVGhTz/9NBwxAgDiiBF3/ZcQrGiqYTralCEFeuG6k3Xzy8u0aEupbnhxqf5y3QSlOoJuTgzARAHPMI0cOVJbtmzR6aefrksuuUR1dXW67LLLtHLlSg0Y0EY/aAAA/BGd176IQr4aJpPjOJHTB+XppW9NVJojQYt3lOvaF75QdWM0dl8F0JGA3upwuVw6//zz9eyzz+pnP/tZuGICAABol7eGKVpnmLwm9svR326apGuf/1zLdx/WVX/+XC9/ayIb2wIxJqAZJrvdrjVr1oQrFgAAgA5Fa5e8towtytI/vn2KclITtXZ/lb755yUqrXGaHRbQKfG2/UPAS/KuvvpqPf/88+GIBQCAuHshRuC8Y8QajV0f2jCiR6Ze/fYpKkh3aFNxja54brF2l9eZHRbQabHxF9h5AVcfNjc364UXXtAHH3yg8ePHKzX12E3Zfv3rX4csOABA/IiXF150nhEDNUxfNqgwXa99Z7Ku+svn2lFapxm/+58euGi4Zk4oirr26ACOFXDCtG7dOp100kmSpC1bthzzPf7gAQBAuMVKDdOX9c1L1evfnaw7Xl2lz3dW6O5/rdUHG0v02GWjlJfGXpZAtAo4YVqwYEE44gAAQBJL8tCxIzVMsZUwSS37NL1y8yn6y/926Kl5mzV/wyGt3HNYT3xttM4ZVmh2eADaEHANEwAA4RCLF78wh6+GKUaHjM1q0XfOGqB/33q6hhSmq6y2STe+tEz3zlmrOmez2eEB+BISJgAAEFNiqUveiQzvkaF/33aabjq9nyTpH1/s0YW//58+3lLqq9MCYD4SJgAAEFOMGK1hakuS3ab7vjJcr9w0ST0yk7SrvF7XvvCFrvzz51q557DZ4QEQCRMAIMrwvjo64p1h6goJk9epA/P07u1n6sbT+ynRZtXiHeX66jOf6Tt/Xaath2rMDg+IayRMAICo0HUufRFu3qS6C+VLkqTMZLvu/8pwLfjJFM2c0EtWi/T++kOa/tuP9ZPXV2t/ZYPZIQJxiYQJAADElK5Sw9SenlnJevLyMZp3x5k6f0Q3eQzp9eX7NPVXC3XPv9Zow4Fqs0NEnDPibC0ACRMAAIgpRhdckteWgQXpevaa8XrzllM1uX+umtwe/XPpXs34/f/09Wc/039WH1BTs8fsMBHHuvifoE/A+zABABBOdAdDR2J149pgjeudrVdunqSluw7r5cW79N66Yi3ddVhLdx1WfrpDV07srSsn9VZhRpLZoQJdEgkTACAqxMm1L0LAm1PH05ixWCya2C9HE/vl6FB1o175fI9e+WKPSmuc+t2HW/X0gm2aMqRAF4/toXOHFSglkUs8IFT4awIAADHFV8NkchxmKcxI0h3TBuvWqQP13vpi/XXxLi3ddVgfbDykDzYeUrLdpnOHF+qi0d111pB8ORJsZocMxDQSJgAAEFO6YlvxYCQmWHXxmB66eEwPbS6u0X9W79fbqw9qT0W93l59QG+vPqD0pASdP6KbZozqrskDcpVkJ3kCAkXCBAAAYkpX2rg2VIZ0S9dPug3Vj88botX7qvT26gP675oDOlTt1OvL9+n15fuUZLfq1AF5mjq0QGcPLVDPrGSzwwZiAgkTACAqWOJ2gRUCFY81TP6yWCwaW5SlsUVZ+tmMYfpiV4X+u+aAPtxYooNVjfpoU4k+2lSi+yUNLkzT1KEFmjK4QON6ZzH7BLSDhAkAAMQUluT5x2q16JT+uTqlf64eucTQpuIafbSpRAs2lWjFnsPacqhWWw7VataiHXIkWDW+T7Ym98/VqQNzNbpXluw2dp8BJBImAAAQY7r6xrXhYLFYNKx7hoZ1z9CtUwfqcF2TPt5aqgWbSvTp9nKV1jj12fZyfba9XP83X0pJtOnkvjk6pX+uJvTN1qiemcxAIW6RMAEAogrbMKEj1DB1XnZqoi4Z21OXjO0pwzC0vbRWi1sTpsU7ylVZ79KiLaVatKVUkpRos2pkzwxN6Juj8X2yNaFPtnLTHCb/FDBNnD1PkzABAKIC177wlyHvkjyTA+kiLBaLBhaka2BBuq6Z3FceT8vyvc+2l2nprgot331YZbVNWrGnUiv2VPoe1y8vVaN7ZiihyqKe+6o0uihHiQks44sn8VJ7SsIEAABiisfT8tFClh0WVqtFw3tkaHiPDN10Rn8ZhqHd5fVatvuwlu+u0LJdh7W1pFY7y+q0s6xOkk3/mvW5Em1WDe+RobFFWRrXO0ujemaqb26qrGS2iHEkTAAAIKZQwxRZFotFffNS1TcvVZeP7yVJqqxv0sq9lVq5q0LzV27VQadDlQ0urdpbqVV7KzX7s5bHpiclaFTPTI3qlanRPbM0ulememUnk+wippAwAQCiihFvi+MRMA81TKbLSknU1CEFOr1/tgY0btYFF0zRgWqXVu+r1Mo9lVq9r1IbDlSrprHZ10zCKzvFrlG9sjSqZ4ZG9czSqF6Z6pGZRBKFqEXCBACIClwqwX/UMEWbo2ehLhnbU5Lkcnu09VCt1uyr1Jr9VVq7r0qbiqt1uN6lj7eU6uPWhhKSlJuaqFG9Mltmo3pmanSvLHXLTDLrxwGOETMJ0y9+8Qu98847WrVqlRITE1VZWWl2SAAAwAQe38a1ZEzRzN5a0zS8R4a+0Xpbo8utzcU1WtuaQK3dX6Uth2pUXtekhZtLtXDzkSSqIN2h0b0yNap1Kd/InpnKT6czHyIvZhKmpqYmff3rX9fkyZP1/PPPmx0OAAAwia+GyeQ4ELgku01jirI0pijLd1ujy61NxTVau69Sa1qTqK0ltSqpceqDjSX6YGOJ7749s5I1pihTY4uyNKZXlkb2zFSqI2YuZxGjYmaEPfzww5Kk2bNn+/0Yp9Mpp9Pp+7q6ulqS5HK55HK5QhpfoLznNzsOxA7GDAIVa2Om2d0sSfJ4jJiJuauJlTHjcrWMFYsYK2YLxZixSRrRLVUjuqXqGxNalvM1NLUkUWv2V2nd/mqtPVCtHWV12l/ZoP2VDZq7tlhSy7LMwQVpGt0rU2OLMjWuKEv98+jMF26e1laVbo874N99ND3P+BuDxTBia4vA2bNn6/bbb/drSd5DDz3kS7SO9sorryglJSUM0QEAgrW1yqI/brCpW7Khe8e6zQ4HUWx5mUUvb7VpcKZHtw73mB0OIqTRLe2ttWh3rbS71qLdtRZVNR2fGKUkGOqbZqhfuqF+6VLvNEMOmwkBd2F/3WrVsjKrLunj1tk9YiqVOEZ9fb2uvPJKVVVVKSMjo937xcwMUzDuvfde3Xnnnb6vq6urVVRUpPPOO++E/ymR4HK5NH/+fE2bNk12u93UWBAbGDMIVKyNmSU7KvTHDcuUlpamGTNOMzucuBQrY8a1+qC0da3y8/I1Y8Z4s8OJa2aPmeLqRq3dV63V+6q0cm9Lc4l6l0cbKi3aUNlyH5vVohHd0zWxX44m9cvW+N7ZSk/q0pfAYffRG2u1rOyghg8bphmn9Q3osWaPmaN5V591xNTRcs899+iJJ5444X02btyooUOHBnV8h8Mhh+P44kC73W76L8grmmJBbGDMIFCxMmZsCS1vAVsslpiItyuL9jFjtVpbPzJWooVZY6Yo166i3HTNGHOkM9/Gg9Vavvuwlu8+rBW7D+tAVaPW7K/Wmv3V+ssnu2S1SKN6ZuqU/rma1D9HJ/fNUXoS4ygQ3r9Bm80W9O89Gp5n/D2/qQnTj370I11//fUnvE///v0jEwwAICrE7uIORAr7MKE9dptVo3tlaXSvLN1wWj9J0oHKBn2xs0JLdpRryY5y7Sqv1+p9VVq9r0qzPt6hBKtFJ/XJ1lmD83XW4HwN755BDRSOYWrClJ+fr/z8fDNDAABECQs9z+Anb/k117TwR4+sZF06rqcuHdcyC3WwqkGf72hJoBbvKNfu8np9sbNCX+ys0K/e36y8tESdOShfZw3J1xmD8pWTmmjyTwCzxcwCzj179qiiokJ79uyR2+3WqlWrJEkDBw5UWlqaucEBAICIMZhhQid0zzw2gdpbUa9FW0q1aEupPttWprLaJs1ZuV9zVu6X1SJN6perC0Z10/QR3VSYwWa68ShmEqYHHnhAL730ku/rcePGSZIWLFigKVOmmBQVAACINN8+TORLCIGinBRdfUofXX1KHzU1e7R892Et2lKqhZtLtKm4RotbZ6Ie/M96je+drQtGddf5I7upZ1ay2aEjQmImYZo9e3ZAezABAGJTjO12ARN4a5gsZEwIscQEqyYPyNXkAbm654Kh2ltRr3fXHdS764q1ck+llu0+rGW7D+uR/27Q2KIsXT6+ly4e20MZNI3o0mImYQIAdG1c+8JfhqhhQmQU5aTo22cO0LfPHKCDVQ16b12x3l1XrKW7KrRqb6VW7a3Uo+9s0IxR3XXFhCJN7JdDIt8FkTABAICYQpc8mKF7ZrJuOK2fbjitn0pqGvWfVQf02rK92nKoVnNW7NecFfvVLy9VX5/QS5ef1EsF1Dt1GVazAwAA4GgsyENHDGqYYLKC9CTddEZ/vX/7mZpzy6n6xslFSk20aWdZnZ58b7MmP/6R7nxtlbaV1JgdaljE29JpZpgAAFGBa1/4y+PxJkyMGpjLYrHopN7ZOql3tu7/ynC9s+agXl22V8t3H9acFfv15sr9Om94oW6ZMlBjirLMDhdBImECAAAxxfveNkvyEE1SHQmaeXKRZp5cpNV7K/XMwm16f/0h378zBuXpe1MGaHL/XJL9GEPCBAAAYsqRGiZz4wDaM6YoS7OumaCth2r0p0Xb9e9VB/S/rWX639YyjeudpXsvGKaJ/XLMDhN+ooYJABBd4mtpPILgq2EyOQ6gI4MK0/XrmWO18MdTdO3kPkpMsGrlnkrNnLVYd762SqU1TrNDhB9ImAAAUYElKvCXd+NaluQhVhTlpOjnl4zUJ3dP1ZWTestikeas2K+zn1qo2Z/uVLPbY3aIOAESJgAAEFMMNq5FjCpIT9IvvzpKb91ymkb1zFSNs1kPvb1BF//xUy3ffdjs8NAOEiYAABBTqGFCrBtTlKW3bj1Nj146UpnJdm04WK2v/ekz3fXGah2uazI7PHwJCRMAIKpQwoSOeNiHCV2AzWrR1af00Uc/OkszJ/SSJL22bJ++8odPtG5/lcnR4WgkTACAqMDFL/xlUMOELiQ3zaEnLx+jf33vVPXNTdH+ygZ97U+f6a2V+80ODa1ImAAAQEyhhgld0fg+2fr3badr6pB8OZs9uv3VVfr52xuisiFEvK0EIGECAAAxhRomdFWZyXb95bqT9f2zB0qSXvh0p65+/nOV10Zn+/F4edOChAkAEFW8y62A9lDDhK7MZrXoR+cN0bNXj1dqok1LdlTooj98orX7qGsyCwkTACAqcO0Lf1HDhHhw/shueuvW09QvL1UHqhp1+bOf6b9rDpgdVlwiYQIAADHlyJI8EiZ0bYMK0/XWrafpnKEFcjZ79MN/rtKCzSVmhxV3SJgAAEBMMcSSPMSPzGS7/nztBH11XE+5PYZu+dsKrdpbaXZYcYWECQAQVahgQke8M0wWFnIiTlitFj3xtdE6Y1CeGlxufWv2Uu0sqzM7rLhBwgQAiArMFsBfHl8Nk8mBABGUmGDVn64er1E9M1VR16RrX/hcJTWNZocVF0iYAABATPE2UrSSMSHOpDkS9ML1J6tPbor2VjTohheXqqbRZXZYXR4JEwAAiCkGbcURx/LTHXr5WxOVl5ao9Qeq9d2/LVdTc2Q3t4233R9ImAAAUSXeXogROGqYEO/65KbqxesnKiXRpk+3levHr6+WxxP5J894+QskYQIARIl4eelFZ1HDBEijemXq2avHK8Fq0X9WH9AT728yO6Qui4QJAADEFIN9mABJ0pmD8/XU18dIkp77eIdW0248LEiYAABATDGYYQJ8Lh3XU5eN6ynDkB749zpTluZ1dSRMAICoYrATEzrgux5khgmQJN0zY6jSHQlava9Kry7ba3Y4XQ4JEwAgKnDtC39RwwQcqyA9SXdMGyxJeuK9TTpc12RyRF0LCRMAAIgpHmqYgONcO7mPhnZLV2W9S0++v9nscLoUEiYAABBjmGECvizBZtXPLxkpSfrn0j00gAghEiYAQFRhHyZ0xNO6R6eFGSbgGBP75fgaQNz/73Vy0wAiJEiYAABRgUtf+Mtbw0S+BBzP2wBizb4qvbo0PA0g4i0NI2ECAAAxhRomoH0F6Um687yWBhBPvh/eBhDx8idIwgQAiCosyUNHDGqYgBO65hQaQIQSCRMAICpQjwJ/GcwwASeUYLPqkUuPNIBYRQOITiFhAgAAMcXDNCTQoZP75uiyk1oaQDz473Uy+LsJGgkTAACIKdQwAf6594JhSrJbtXpfldbsqzI7nJhFwgQAAGKK951yapiAE8tPd+i84d0kSW+u3G9yNLGLhAkAEBW49oW/fDVMZExAh746rqck6e3VB+Rye0yOJjaRMAEAgJji24fJ5DiAWHD6oDzlpiaqvK5Jn2wrMzucmETCBAAAYsqRjWtJmYCO2G1WXTSmhyTprRAty4u3BhIkTACAqBJvL8QIHG3FgcBc2ros7/31xap1NofsuPHyF0jCBACIClz7wl9HuuSZGwcQK8b0ylS/vFQ1ujyat77Y7HBiDgkTAACIKYZvSZ7JgQAxwmKx6NKxLbNMdMsLHAkTAACIKdQwAYHzdsv7dFuZSqobTY4mtpAwAQCiChVM6Ih3jFDDBPivd26KxvfJlseQ/rP6gNnhxJSYSJh27dqlG2+8Uf369VNycrIGDBigBx98UE1NTWaHBgAIEUvclA+js6hhAoLjbf7w1iqW5QUiJhKmTZs2yePxaNasWVq/fr1+85vf6Nlnn9VPf/pTs0MDAAARRg0TEJyvjOquBKtF6/ZXa+uhGrPDiRkxkTCdf/75evHFF3Xeeeepf//+uvjii/XjH/9Yc+bMMTs0AAAQYd4aJpbkAYHJTk3UlCEFkphlCkSC2QEEq6qqSjk5OSe8j9PplNPp9H1dXV0tSXK5XHK5XGGNryPe85sdB2IHYwaBirUx09zcsjeIxzBiJuauJlbGjKd1TZ7H7Y76WLu6WBkzOOLi0YX6YOMhvbVyv34wpb+sQaxtNVr/Bt0eT8C/+2gaM/7GYDFicIfAbdu2afz48Xrqqad08803t3u/hx56SA8//PBxt7/yyitKSUkJZ4gAgADtrZWeWpugzERDPx/vNjscRLE/rLdqW7VV1w9ya1xezF3GAKZqckv3L7ep0W3RD0Y0a0BG4MeYvcWqleVWfa2vW2d2j92/wfr6el155ZWqqqpSRkb7/xGmzjDdc889euKJJ054n40bN2ro0KG+r/fv36/zzz9fX//610+YLEnSvffeqzvvvNP3dXV1tYqKinTeeeed8D8lElwul+bPn69p06bJbrebGgtiA2MGgYq1MbP+QLWeWrtESUlJmjHjLLPDiUuxMmb+dnCpVH1YJ500TheM7GZ2OHEtVsYMjvV583q9sWK/DiX30fdnjAj48e/XrNbK8kMaMWKEZpzSO6DHRtOY8a4+64ipCdOPfvQjXX/99Se8T//+/X2fHzhwQFOnTtWpp56q5557rsPjOxwOORyO42632+2m/4K8oikWxAbGDAIVK2MmIaHlJckiS0zE25XFypixJyTERJzxIFbGDFpcNr6X3lixX3PXHdLDl4xSkt0W0OMt1pY2CDabLejfezSMGX/Pb2rClJ+fr/z8fL/uu3//fk2dOlXjx4/Xiy++KKs1JvpVAAACZLATEzrgLSZg41ogOKf0y1X3zCQdrGrUws0lOn9kd7NDimox0fRh//79mjJlivr06aOnnnpKpaWlvu9168ZUPAAgfjib3SqpdupAZYMOVjW2/mtQSbVTKQ6b8tMcyktzKD+95WNeeqLy0xzKSU3sMgnGkS55JgcCxCir1aKLx/bQrEU79ObK/SRMHYiJhGn+/Pnatm2btm3bpl69eh3zvRjsWQEAgN/qnM36eEup5m04pM+2l+lQtbPjB7WhKCdZM0Z21wWjumtMr8yYTp48zDABnXbZuF6atWiHPtpUoupGlzKSWFLZnphImK6//voOa50AAOgqSqob9cHGEs3fUKxPt5erqdlzzPcdCVZ1z0xS98zklo9ZSSpIT1J9k1ulNU6V1bb8835+uN6lvRUNmvXxDs36eId6ZiVr+ohumjGqm07qnR1UW2EzGcwwAZ02pFu6emYla39lgzYcqNYp/XPNDilqxUTCBACIH/G6cMDtMfSf1fv18uLdWrmn8pjv9clN0bRhhTpnWKGGdEtXdoo9oNmV+qZmLdpcqrnrivXRxkPaX9mgFz7dqRc+3amCdIe+MbG3bpkyQIGVfZvHO0TYuBbonGHdM7S/skGbDpIwnQgJEwAgKsTrta9hGJq34ZD+b95mbTlU67t9TFGWzhteqGnDCzWoIK1Ty89SEhN0waiW5XiNLrc+3lKq99YVa/6GQyqpcer3H27Vf1bt1yMXDw/FjxR23hqmeB0zQKgM656uDzYe0qbiGrNDiWokTAAAmOTTbWV68v3NWr23UpKUkZSg75w1QJeP76XCjKSwnDPJbtN5I7rpvBHd5Gx2a976Q3r0nQ3aVV6va15cplMKrDqtwaW8KG4R7WldoUgNE9A5Q7u17Eu6kYTphEiYAACIsBV7Duup9zfrs+3lkqRku003nt5PN5/ZX5nJkUtUHAk2XTSmh84akq8n39ukvy3ZoyUlVp3/+0/180tG6oKR3aIyKaFLHhAaQ7unS5K2FNfI4zH8r2eMs6XTJEwAgKjSlV+HG5rcuv/f6/TG8n2SpESbVVdO6q1bpw5UfvrxG61HSkaSXY9eOkoXjizU7X//Qodqm3TL31fo3GGFeuTSEeqemWxabCdCDRPQOX1zU+VIsKrB5daeinr1zUsN6PHx8idIwgQAiAoWde1X3t3ldfrOX5drU3GNrBbp8vG99INzBqlXdorZoflM6JOtu0a7tTN5sGb9b6c+2HhIK/Yc1uvfnawB+Wlmh+dDDRMQGjarRYML07V2f5U2FVcHnDDFC6vZAQAA0NV9uPGQvvKHT7SpuEZ5aYn6202T9OTlY6IqWfJKsEo/PGeg3vnBGRrWPUMVdU269vkvdKi60ezQfHz7MHXxJBuIhKHdWpblbTxIHVN7SJgAAAgTt8fQr+dv0Y0vLVNNY7PG9c7S298/XacOyDM7tA4NLkzX326cqP55qdpf2aDrXvhCVQ0us8OSRA0TEEpDu7c0fthUXG1yJNGLhAkAEFW6yj5MlfVN+tbspfr9h1slSddO7qNXvz05auuB2pKb5tBL35qognSHNhXX6OaXl6nR5TY7LF+hW6xtuAtEo2GtM0y0Fm8fCRMAICp0pXqU9Qeq9JU/fKJFW0qVZLfq1zPH6OeXjFRiQuy97BblpOilb01UuiNBX+ys0O3/XCW3x9yslhkmIHSGtCZMu8vrVedsNjma6BR7z9wAAESxrYdq9M3nlmjf4Qb1zknRnO+dpstO6mV2WJ0yrHuGnrt2ghJtVr23vlgP/HudDBOnAo/ka2RMQGflpjlU0Nqlc/MhZpnaQsIEAIgysbsmr7iqUde98IWqG5t1Uu8svX3b6RreI8PssEJi8oBc/e4bY2WxSH//fI9+/+E202JhhgkILV8dE40f2kTCBACICrG+JK+60aXrX/xCB6oa1T8/Vc9fd7IyUyK3CW0kXDCqu35+yUhJ0m8+2KJXPt9jShzeyS32YQJC40gdk3+NH4wYfmMrGCRMAAB0krPZre+83LLHUn66Qy/dMFHZqYlmhxUW15zSRz84e6Ak6b631prSWcvwzTCRMAGhMLR7a8IU4AxTvPwFkjABANAJHo+hH7++Rot3lCvNkaDZN5ysopzo218plO6YNljnDS+Ux5B+PW9LxM/v24cpXq7WgDAbUtiyJG9jcbWp9YnRioQJABBVYu21+rF3N+rt1QeUYLXo2avHa0SPTLNDCjuLxaK7zh8qq0Wat+GQVu2tjOj5vTVMJExAaAwoSFWC1aKaxmYdrIqeTaqjBQkTACAqWGJwccdf/rdDf/7fTknSr74+WqcPiv4NaUNlYEGavjqupfvf/83bHNFze3NqluQBoeFIsGlAfpokNrBtCwkTAABB+O+aA3r0nY2SpHsuGOpLHuLJ7ecOkt1m0f+2lmnJjvKInZcaJiD0vHVMG+mUdxwSJgAAArS3ol4/fn21JOn6U/vqO2f2NzkicxTlpOgbJ/eWJD31/uaI1T54fF3yInI6IC4M7dbaWryYhOnLSJgAAFEl2kuYDMPQA/9ep0aXR5P65ej+rwyXJY5nOm47e6AcCVYt231YC7eURuSc1DABoXekUx5L8r6MhAkAEBVi5eL33XXFWrC5VHabRb/46ijZ4nyaozAjSded2ldSyyyTxxP+lNfwdcmL7/97IJSGtc4w7SirU6PLbXI00YWECQAAP9U0uvTw2+slSd87a4AGFqSZHFF0+O5ZA5TmSND6A9V6b31x2M/noYYJCLnCDIeyUuxyewxtK6k1O5yoQsIEAICf/m/eFh2qdqpvbopumTrQ7HCiRk5qor51ej9J0q/nb5E7zLNMBjVMQMhZLBYN7da6LK+DOqZY2/6hs0iYAABRJVo3TVyzr1IvLd4lSXr00lFKstvMDSjK3HRGP2Um27WtpFZvrdwf1nP5aphisBU9EM18jR/8rWOKk1leEiYAQFSI5pfdZrdHP31zrQxDumRsj7jab8lfGUl2fW/KAEnSbz/coqZmT9jOdaSGKWynAOKSvzNM8YaECQCADry8eLfW7a9WRlKC7rtwuNnhRK3rJvdVfrpDeysa9NqyvWE7j6+GiTV5QEgN7U5r8baQMAEAcAIHqxr0f/M2S5LuvmCo8tMdJkcUvZITbbqttbbrDx9tDVunLWqYgPAYXJgmi0Uqq3WqtMZpdjhRg4QJABBVoq2C6eH/bFBdk1sn9c7SN1s3aUX7vjGxSD0yk3So2qkPNh4KyzmoYQLCIyUxQX1zUyVJm5ll8iFhAgBEhWisR/lgwyG9t75YCVaLfnnZKJaA+cGRYNOMUd0lSf/bUhaWc3iTan4dQOgdqWNiA1svEiYAANrgbHbrwf+07Ll04xn9fN2j0LEzBudLkv63tTQsXQ99M0zRmGUDMc77XLfxIDNMXiRMAAC0Ye7ag9pf2aDCDId+eM4gs8OJKZP65SgxwaoDVY3aXhraDTANw6CGCQijod2ZYfoyEiYAQFSJlm2YXvpstyTpmlP6KCUxweRoYkuS3aZJ/XIkSR+HeFne0eODGSYg9Ia1zjBtPVSrZnf4tgeIJSRMAIAoET0Xv6v3VmrV3kol2qz6xkQaPQTjzEEty/I+3loa0uMenU8zwwSEXq/sZKUm2tTk9mhnWV2b94mWN7YihYQJAIAveXlxy+zShaO7Ky+NNuLBOGNwy+a+S3aUy9kcuvbinqOu1JhhAkLParVoSGvjh40ddMqLl79AEiYAAI5SXuvU22sOSJKundzH5Ghi15DCdBWkO9To8mj5rsMhO+7RCRMzTEB4DGldlrfpIHVMEgkTACDKhKOrWiBeXbZXTc0eje6VqbFFWabGEsssFovOaF2WtyiEy/KoYQLCb5iv8QOd8iQSJgBAlIiGa99mt0d/X7JHknTt5L5ckHfSma3L8kK5HxMzTED4eVuLs3ltCxImAABafbipRPsrG5SdYtdXRnc3O5yYd/rAloRpw8FqldY4Q3LMo2eYrCS0QFh4a5j2VzaoqsFlcjTmI2ECAKDVy4t3SZK+MbG3kuw2c4PpAnLTHBrZs+Wd6k+2hWZZ3rFNH0JySABfkplsV4/MJEnSthJmmUiYAABRxawKpm0lNfp0W7msFumqSbQSDxVve/FQLcvzHF3DFDc9uoDIy0tv6RBaWc8MEwkTACAqmH3p620lfu6wQvXKTjE5mq7jDN9+TGXyeDqfDhvUMAERkZ7UsmF3dSMJEwkTACDu1TS69K/l+yRJ153a19xgupjxfbKVkmhTWa0zJB23qGECIiPdYZck1TQ2H/c9w7S1AOYgYQIARBcTXofnrNivuia3BuSn6tQBuZEPoAtLTLBqcv+W/9OPQ9BenBomIDK8M0xtJUxe8fI3SMIEAIgKZrXwNgxDL7U2e6CVeHicMai1vXhIEqYjn/O7AsInPallhokleSRMAIA49+m2cu0orVNqok2XndTT7HC6pDMHt9QxLd15WPVN7b9b7Q9vDRP1S0B4ZSR3PMMUL0iYAABxzTu79LXxvXzvqCK0+uWlqmdWsprcHn2+s6JTx/JOMFG/BISX9/mQhImECQAQZSJZwnSwqkEfbjwkSbp2cp8Injm+WCwWnTm4dVleJ9uLe3wzTCRMQDgdqWFiSV7MJEwXX3yxevfuraSkJHXv3l3XXHONDhw4YHZYAIAQMePyd+HmUnkM6aTeWRpYkG5CBPHjTF978c7VMflqmMiXgLDK8LYVbyBhipmEaerUqXrttde0efNm/etf/9L27dt1+eWXmx0WACCGfbK1ZbbDW2OD8Dl1QJ6sFmlbSa0OVDYEfRzvXk7UMAHhxZK8I2ImYbrjjjt0yimnqE+fPjr11FN1zz33aMmSJXK5yHoBAIFzewx9sq0lYfJurorwyUyxa2xRlqTQdMtjSR4QXv60FY8XCWYHEIyKigr9/e9/16mnniq7vf0CXafTKafT6fu6urpakuRyuUxPtLznNzsOxA7GDAIVa2OmubnlRdkwjIjEvGZflaoaXEpPStDwwpSY+X8Kp3CPmdMG5GjFnkot2lyiy8Z2D+oYztbYLJbYGdtdWaw9z8B/KQktb0rUNB5/3eyd6XW73QH/7qNpzPgbg8UwjJjZqvfuu+/WH//4R9XX1+uUU07Rf//7X+Xmtr/B4EMPPaSHH374uNtfeeUVpaSkhDNUAECAyhqlR1YmyGE19OQkd9jPN2+fRe/stWlUtkc3DfWE/XyQdtZIv12XoJQEQ7+Y4A5qWV1Jg/SLVQlKshl6YmL4xwkQr2pd0s+Wtcyt/OaU5mP+Xv+yyaq1h62a2d+t0wpjJpU4Tn19va688kpVVVUpIyOj3fuZmjDdc889euKJJ054n40bN2ro0KGSpLKyMlVUVGj37t16+OGHlZmZqf/+97/tblzX1gxTUVGRysrKTvifEgkul0vz58/XtGnTTjhLBngxZhCoWBszuyvqde5vPlFqok2r7j8n7Oe76vml+mLXYT100TBdNbEo7OeLBeEeM81ujyY+vlA1jc164zuTNKZXZsDH2FFap+m//1QZSQla/rOzQx4jAhNrzzPwX1OzRyMe/kCStOynU5WZfOT3e8srqzR/Y4keuXi4vnFyr4COG01jprq6Wnl5eR0mTKYuyfvRj36k66+//oT36d+/v+/zvLw85eXlafDgwRo2bJiKioq0ZMkSTZ48uc3HOhwOORyO42632+2m/4K8oikWxAbGDAIVK2PGnnDkJSnc8dY5m7Vyb6UkacqQwpj4/4mkcI0Zu12a1C9HH2ws0boDNZrQLy/gY9hax4nVauH3FkVi5XkG/rPbJUeCVc5mjxqapbyjfr/eyQqbzRb07z0axoy/5zc1YcrPz1d+fnCFth5Py/KJo2eQAACxLxLLHr7YWSGX21Cv7GT1yWWJdiT1zkmVJB2sagzq8Qb7MAERk55kl7PWqeo434spJpo+fP7551q6dKlOP/10ZWdna/v27br//vs1YMCAdmeXAACxxRLBjXW8ewGdMSi/3WXdCI8eWUmSpP1Bthb37sPEbw0Iv4ykBJXVOuO+U15MtBVPSUnRnDlzdM4552jIkCG68cYbNXr0aC1atKjNJXcAAJyId/+lMwYFviQMndMzK1mSgt6LydM6w0SiC4QfrcVbxMQM06hRo/TRRx+ZHQYAoAsormrU1pJaWSzSqQPa77SK8OjhS5iCXZLX8pGNa4Hwy0j2bl4b30vyYmKGCQAQP8Ldu9W7aeroXlnKSkkM78lwHG/CdKimUS534O3cPdQwARHDDFMLEiYAQFSI1PXvJ9tal+MNZDmeGXJTE5WYYJVhtMz2BcqbUJMvAeGX7mCGSSJhAgDEEY/H0KetCdPp1C+Zwmq1qEdmS+OHYOqYmGECIqe9GabY3ao2OCRMAIC4sbG4WmW1TUpJtOmk3tlmhxO3fHVMVYEnTN4LNfIlIPzSk1pmmNprKx4vf4ckTACAqGKE8b1Lb3e8U/rnKjGBl0CzdKbxAzNMQOR4Z5iqqWECACA+eOuXTqd+yVTehCmYvZiObFwb0pAAtOFIlzwSJgAAurxGl1uf76yQJJ05mITJTD2zOlPD1PKRfZiA8DtSw0TTBwAAuryluyrU1OxRt4wkDchPMzucuNajE5vX0iUPiBzaircgYQIARJVw7cPkrV86Y1AesxMm8y3JO9zgW2LnL2qYgMjJSKKtuETCBACIEuG+/v14K+3Eo0WPzJaEqa7JHXAxuYcaJiBimGFqQcIEAOjySmuc2niwWpJ0Gg0fTJecaFNOaqKkwJfl+ZbkiYwJCDdvW/H6Jrdcbo/J0ZiHhAkA0OV9tr1ldmlEjwzlpTlMjgaS1CPIxg/UMAGR451hkqTaOJ5lImECAESVcJQw/Y/leFHHuywv0ISJGiYgcuw2q5LtNknHLssLV61ptCJhAgBEhXA1YjAMQ//bWipJOmNgfljOgcAd2YspsM1rfQkTVzBARBzZvPb4xg/x8rYFTzcAgC5tW0mtDlU75UiwakLfbLPDQaueQbYWp4YJiCwaP5AwAQC6uJV7KyVJJ/XOVlLr0hKYL9i9mAzRJQ+IpHRai5MwAQCiTIjXxm8vrZUkDemWHtoDo1OCbfrgaW3UxV5aQGQww0TCBACIEuG6/N1e0pIwDchPDdMZEAzvkrxDNU41B9CumH2YgMjybl7bVg1TvCBhAgB0adtL6yRJA/LTTI4ER8tLc8hus8jtMVRS4/T7cR5fW3EyJiASMpKZYSJhAgBEFSOEa/KczW7tqaiXJA0sIGGKJlarRd2Dai3ODBMQSdQwkTABAKJEOCYMdpfXy+0xlO5IUH46G9ZGG28d0/4AEiZmmIDISncww0TCBADosrz1S/0L0rjAjkJHOuX5vxcTNUxAZNH0gYQJANCFeTvkDaR+KSoFsxeTh32YgIhKb7PpQ4jbmUY5EiYAQFQxQvg6vM3bIa+ADnnRKJgaJsM7w8QVDBARJ5phipeJe55uAABRIRwzBnTIi27B1DB5E2prvFypASZre4YpvpAwAQC6JMMwjizJo0NeVApuSV5LxkRNGhAZtBUnYQIAdFEHqxpV3+RWgtWi3jkpZoeDNnRvTZiqG5v9bll8pIYJQCRk0FachAkAEF1CVcLknV3qk5siu42Xu2iU5khQZnLLxdjBKv865Rl0yQMiylvD1OjyyOX2mByNOXgFAQBEhVCvsPK2FGc5XnTzthb3t46JGiYgstJa92GS4ndZHgkTAKBL2tY6w0TDh+jWs7Xxg791TNQwAZGVYLMqJdEmKX6X5ZEwAQC6pO0ldMiLBT0CbPzgq2EiXwIiJt43ryVhAgBEFSNEGzF5a5gGsCQvqh1JmPysYRI1TECkeRs/VDe0zDCFcr+8WEDCBACICqG8/q1udKmkxilJGpDPprXRLNAaJg81TEDEeWeYqr80wxSO/fOiEQkTAKDL8TZ8KMxw+DZdRHQKtIbpSJe8+LhQA6JBepy3FidhAgB0OdtLqV+KFd4ZpuKqRrk9Ha/z8bARExBx1DABABBFQrE0fhstxWNGQXqSbFaLmj2GSluXUZ6Id3wwwwREzpEZJhImAADME8Lr3+20FI8ZNqtF3TJaluX5U8d0pIYpnFEBOFqGb4aJJXkAAHQJJEyxpWcArcWpYQIijyV5AAB0IU3NHu0ur5fEkrxY0SOAxg++jWvDGhGAo2Ukt7YVZ4YJAADzdXZ/jz0VdXJ7DKUm2lSY4QhNUAirQDavNXwb15IyAZHCDBMAAFEgVPt5bCtp7ZBXkMZFdYw4shdTx5vXUsMERF66g7biAAB0GdQvxZ5Aapg81DABEfflGaZQdDONJSRMAIAuZTstxWOOb0lelf9NH8iXgMjxthWv/vKSvDj5OyRhAgB0KUdmmFJNjgT+8jZ9qKx3qc554hoJapiAyEunrTgAAOYLxfWvYRjaXtpaw8SSvJiRnmT3XZAd7GCWiRomIPK8XfKczR45m90mRxN5JEwAgC7jULVTtc5m2awW9cllhimW9PSz8QM1TEDkpTkSfJ/HY6c8EiYAQJfhXY7XJydFiQm8xMUSf1uLU8MERJ7NavElTSRMMcDpdGrs2LGyWCxatWqV2eEAAMLACHIzpm2tDR/6sxwv5vi7ea13ZDDDBERWPNcxxVzCdNddd6lHjx5mhwEACLFQXP56Z5jokBd7juzF1FENEzNMgBniefPamEqY3n33Xc2bN09PPfWU2aEAAKIQHfJil797MR1p+kDGBESSt7V4PM4wJXR8l+hw6NAh3XzzzXrrrbeUkpLi12OcTqecTqfv66qqKklSRUWFXC5zf9kul0v19fUqLy+X3W43NRbEBsYMAhVrY6airkkeZ70kqaysXNYg2qBt3nNIHmeTcu0ulZeXhzrELs/MMZNqNMrjrNfug54T/u5qq6vkcdarobaa33EUiLXnGQQv0dPyN7q/pEyNdTXyOOtVU12p8nL/rsu9omnM1NTUSOp4GbjFCHaheAQZhqEZM2botNNO03333addu3apX79+WrlypcaOHdvu4x566CE9/PDDkQsUAAAAQEzZu3evevXq1e73TU2Y7rnnHj3xxBMnvM/GjRs1b948vfbaa1q0aJFsNpvfCdOXZ5g8Ho8qKiqUm5tr+oZ31dXVKioq0t69e5WRkWFqLIgNjBkEijGDQDFmECjGDAIVTWPGMAzV1NSoR48eslrbr1QyNWEqLS3tcDq9f//+mjlzpt5+++1jkhy32y2bzaarrrpKL730UrhDDbnq6mplZmaqqqrK9MGC2MCYQaAYMwgUYwaBYswgULE4ZkytYcrPz1d+fn6H9/v973+vRx991Pf1gQMHNH36dL366quaNGlSOEMEAAAAEMdioulD7969j/k6La2lXeyAAQNOuN4QAAAAADojptqKdyUOh0MPPvigHA6H2aEgRjBmECjGDALFmEGgGDMIVCyOmZjokgcAAAAAZmCGCQAAAADaQcIEAAAAAO0gYQIAAACAdpAwAQAAAEA7SJjC6Omnn1bfvn2VlJSkSZMm6Ysvvjjh/V9//XUNHTpUSUlJGjVqlObOnRuhSBEtAhkzf/7zn3XGGWcoOztb2dnZOvfcczscY+h6An2e8frnP/8pi8WiSy+9NLwBIuoEOmYqKyt16623qnv37nI4HBo8eDCvT3Em0DHz29/+VkOGDFFycrKKiop0xx13qLGxMULRwkwff/yxLrroIvXo0UMWi0VvvfVWh49ZuHChTjrpJDkcDg0cOFCzZ88Oe5yBImEKk1dffVV33nmnHnzwQa1YsUJjxozR9OnTVVJS0ub9P/vsM33zm9/UjTfeqJUrV+rSSy/VpZdeqnXr1kU4cpgl0DGzcOFCffOb39SCBQu0ePFiFRUV6bzzztP+/fsjHDnMEuiY8dq1a5d+/OMf64wzzohQpIgWgY6ZpqYmTZs2Tbt27dIbb7yhzZs3689//rN69uwZ4chhlkDHzCuvvKJ77rlHDz74oDZu3Kjnn39er776qn76059GOHKYoa6uTmPGjNHTTz/t1/137typCy+8UFOnTtWqVat0++2366abbtL7778f5kgDZCAsJk6caNx6662+r91ut9GjRw/jsccea/P+M2fONC688MJjbps0aZLxne98J6xxInoEOma+rLm52UhPTzdeeumlcIWIKBPMmGlubjZOPfVU4y9/+Ytx3XXXGZdcckkEIkW0CHTM/OlPfzL69+9vNDU1RSpERJlAx8ytt95qnH322cfcdueddxqnnXZaWONE9JFkvPnmmye8z1133WWMGDHimNuuuOIKY/r06WGMLHDMMIVBU1OTli9frnPPPdd3m9Vq1bnnnqvFixe3+ZjFixcfc39Jmj59erv3R9cSzJj5svr6erlcLuXk5IQrTESRYMfMz3/+cxUUFOjGG2+MRJiIIsGMmf/85z+aPHmybr31VhUWFmrkyJH65S9/KbfbHamwYaJgxsypp56q5cuX+5bt7dixQ3PnztWMGTMiEjNiS6xc/yaYHUBXVFZWJrfbrcLCwmNuLyws1KZNm9p8THFxcZv3Ly4uDluciB7BjJkvu/vuu9WjR4/jnnjQNQUzZj755BM9//zzWrVqVQQiRLQJZszs2LFDH330ka666irNnTtX27Zt0y233CKXy6UHH3wwEmHDRMGMmSuvvFJlZWU6/fTTZRiGmpub9d3vfpcleWhTe9e/1dXVamhoUHJyskmRHYsZJqALePzxx/XPf/5Tb775ppKSkswOB1GopqZG11xzjf785z8rLy/P7HAQIzwejwoKCvTcc89p/PjxuuKKK/Szn/1Mzz77rNmhIUotXLhQv/zlL/XMM89oxYoVmjNnjt555x098sgjZocGBI0ZpjDIy8uTzWbToUOHjrn90KFD6tatW5uP6datW0D3R9cSzJjxeuqpp/T444/rgw8+0OjRo8MZJqJIoGNm+/bt2rVrly666CLfbR6PR5KUkJCgzZs3a8CAAeENGqYK5nmme/fustvtstlsvtuGDRum4uJiNTU1KTExMawxw1zBjJn7779f11xzjW666SZJ0qhRo1RXV6dvf/vb+tnPfiarlffqcUR7178ZGRlRM7skMcMUFomJiRo/frw+/PBD320ej0cffvihJk+e3OZjJk+efMz9JWn+/Pnt3h9dSzBjRpKefPJJPfLII3rvvfc0YcKESISKKBHomBk6dKjWrl2rVatW+f5dfPHFvs5ERUVFkQwfJgjmeea0007Ttm3bfMm1JG3ZskXdu3cnWYoDwYyZ+vr645Iib8JtGEb4gkVMipnrX7O7TnRV//znPw2Hw2HMnj3b2LBhg/Htb3/byMrKMoqLiw3DMIxrrrnGuOeee3z3//TTT42EhATjqaeeMjZu3Gg8+OCDht1uN9auXWvWj4AIC3TMPP7440ZiYqLxxhtvGAcPHvT9q6mpMetHQIQFOma+jC558SfQMbNnzx4jPT3duO2224zNmzcb//3vf42CggLj0UcfNetHQIQFOmYefPBBIz093fjHP/5h7Nixw5g3b54xYMAAY+bMmWb9CIigmpoaY+XKlcbKlSsNScavf/1rY+XKlcbu3bsNwzCMe+65x7jmmmt899+xY4eRkpJi/OQnPzE2btxoPP3004bNZjPee+89s36ENpEwhdEf/vAHo3fv3kZiYqIxceJEY8mSJb7vnXXWWcZ11113zP1fe+01Y/DgwUZiYqIxYsQI45133olwxDBbIGOmT58+hqTj/j344IORDxymCfR55mgkTPEp0DHz2WefGZMmTTIcDofRv39/4xe/+IXR3Nwc4ahhpkDGjMvlMh566CFjwIABRlJSklFUVGTccsstxuHDhyMfOCJuwYIFbV6beMfIddddZ5x11lnHPWbs2LFGYmKi0b9/f+PFF1+MeNwdsRgG86MAAAAA0BZqmAAAAACgHSRMAAAAANAOEiYAAAAAaAcJEwAAAAC0g4QJAAAAANpBwgQAAAAA7SBhAgAAAIB2kDABAAAAQDtImAAAAACgHSRMAICYNmXKFN1+++1mhwEA6KISzA4AAID2WCyWE37/wQcf1Jw5c2S32yMU0bHuuOMO7d69W3PmzDHl/ACA8CNhAgBErYMHD/o+f/XVV/XAAw9o8+bNvtvS0tKUlpZmRmiSpC+++EIXXnihaecHAIQfS/IAAFGrW7duvn+ZmZmyWCzH3JaWlnbckrwpU6bo+9//vm6//XZlZ2ersLBQf/7zn1VXV6cbbrhB6enpGjhwoN59913fYzwejx577DH169dPycnJGjNmjN54441242pqapLdbtdnn32mn/3sZ7JYLDrllFPC+V8BADAJCRMAoMt56aWXlJeXpy+++ELf//739b3vfU9f//rXdeqpp2rFihU677zzdM0116i+vl6S9Nhjj+nll1/Ws88+q/Xr1+uOO+7Q1VdfrUWLFrV5/ISEBH366aeSpFWrVungwYN67733IvbzAQAih4QJANDljBkzRvfdd58GDRqke++9V0lJScrLy9PNN9+sQYMG6YEHHlB5ebnWrFkjp9OpX/7yl3rhhRc0ffp09e/fX9dff72uvvpqzZo1q83jW61WHThwQLm5uRozZoy6deumrKysyP6QAICIoIYJANDljB492ve5zWZTbm6uRo0a5butsLBQklRSUqJt27apvr5e06ZNO+YYTU1NGjduXLvnWLlypcaMGRPiyAEA0YaECQDQ5Xy5a57FYjnmNm/3PY/Ho9raWknSO++8o549ex7zOIfD0e45Vq1aRcIEAHGAhAkAENeGDx8uh8OhPXv26KyzzvL7cWvXrtXXvva1MEYGAIgGJEwAgLiWnp6uH//4x7rjjjvk8Xh0+umnq6qqSp9++qkyMjJ03XXXtfk4j8ejzZs368CBA0pNTVVmZmaEIwcARAJNHwAAce+RRx7R/fffr8cee0zDhg3T+eefr3feeUf9+vVr9zGPPvqoZs+erZ49e+rRRx+NYLQAgEiyGIZhmB0EAAAAAEQjZpgAAAAAoB0kTAAAAADQDhImAAAAAGgHCRMAAAAAtIOECQAAAADaQcIEAAAAAO0gYQIAAACAdpAwAQAAAEA7SJgAAAAAoB0kTAAAAADQDhImAAAAAGjH/wOuXBMpi6OKSwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "# Plot the function\n", "plt.figure(figsize=(10, 6))\n", "r = 100*(interpolate_f_over_a(ap)/f(t, ap, b, c) - 1 )\n", "plt.plot(t,r)\n", "plt.xlabel('Time $t$')\n", "plt.ylabel(r'rel diff %')\n", "plt.title(r'Time Series $f(t; a, b, c)$')\n", "plt.grid(True)\n", "plt.ylim(-4.,4.)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "613756ba-3f12-4f5b-925b-2cb633b5b612", "metadata": {}, "source": [ "## Question 7\n", "\n", "Use `widgets` from `ipywidgets` to create a sliding scale of `a` values. \n", "\n", "In this question, you should plot the ratio between the interpolated values and the true values of the function evaluated at the original time grid $t$. \n", "\n", "\n" ] }, { "cell_type": "markdown", "id": "41d82171-9543-4b75-9974-51e41c089343", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 21, "id": "03e63944-76bb-4dcf-9876-a9a068258adb", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "5408767d93b34d7492aa01b82eb0cdb5", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=0.145, description='ap', max=1.0, step=0.001), Output()), _dom_classes…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from ipywidgets import interact, FloatSlider\n", "import ipywidgets as widgets\n", "\n", "# Define the slider function to update the plot\n", "def plot_interpolated_relative_difference(ap):\n", " # Calculate the relative difference\n", " r = 100 * (interpolate_f_over_a(ap) / f(t, ap, b, c) - 1.)\n", " \n", " # Plot the relative difference\n", " plt.figure(figsize=(10, 6))\n", " plt.plot(t, r)\n", " plt.xlabel('Time $t$')\n", " plt.ylabel(r'Relative Difference %')\n", " plt.title(r'Time Series $f(t; a, b, c)$')\n", " plt.ylim(-10,10)\n", " plt.grid(True)\n", " plt.show()\n", "\n", "# Define the slider for `ap`\n", "ap_slider = FloatSlider(value=0.145, min=0., max=1.0, step=0.001, description='ap')\n", "\n", "# Use `interact` to create the interactive plot\n", "interact(plot_interpolated_relative_difference, ap=ap_slider)" ] }, { "cell_type": "markdown", "id": "860d0db9", "metadata": {}, "source": [ "## Question 8\n", "\n", "From your results of Question 7, what do you observe? Does it make sense?\n" ] }, { "cell_type": "markdown", "id": "e5fa2c08-6176-4fb6-815f-d88d14076bcb", "metadata": {}, "source": [ "### Solution\n", "\n", "The interpolation is now less accurate as we interpolate over a, in addition to t! All makes sense. " ] }, { "cell_type": "markdown", "id": "275f4c66-db29-416c-b349-f1d50bd9d8d6", "metadata": {}, "source": [ "## Question 9 \n", "\n", "We will now consider both $a$ and $b$ as interpolation parameters. \n", "\n", "\n", "Our interpolator should therefore interpolate accross both $a$ and $b$ ranges. \n", "\n", "Generate $10^2$ parameter value pairs $(a,b)$ in the range $0" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the Latin Hypercube samples as a 2D scatter plot\n", "plt.figure(figsize=(8, 6))\n", "plt.scatter(a_values, b_values, alpha=0.7)\n", "plt.xlabel(\"Parameter a\")\n", "plt.ylabel(\"Parameter b\")\n", "plt.title(\"Latin Hypercube Sampling for Parameters a and b\")\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "dc664e09-08ba-420d-9087-b611d8e700e5", "metadata": {}, "source": [ "## Question 10\n", "\n", "For comparison, on the same plot, add a uniformly sampled realization of $10^2$ $a$ and $b$ values.\n" ] }, { "cell_type": "markdown", "id": "3f93d43d-7631-46d0-99db-aa5a513589f9", "metadata": {}, "source": [ "Can you distinguish by eye? \n", "\n", "As an extension question, think of how you would proceed if \n", "you needed to prove that these samples come from different generative processes (uniform or Latin Hyper Cube). " ] }, { "cell_type": "markdown", "id": "91d36ac8-27d2-4e04-b0f0-07e270e07364", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 24, "id": "06e92bc0-b4ef-4bd8-8d83-b2b37c59ab14", "metadata": {}, "outputs": [ { "data": { "image/png": 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6yAxoTk4OtmzZgh9//LHT5wtmMpl8+cEejwdHjx6FxWLBsGHDIvr76j+OxsZGHDlyBJMnT8bu3bvR2NgYcN+RI0fi5JNP9n2dm5sb8vtcuXIlTjjhBBx//PEB97vyyiuj+rn8V9akmfS2tjZ8/PHHUT0OyQ9THUgTXnzxRTzyyCOorKyEy+XyXX/MMcf06HGDAz4AsFqtqK+vj+j7hwwZgtNPPz3k+i+//DLkuksvvRS33norXn75Zdxzzz1obGzEBx98gNtuuy0k0CwpKQm5bujQoQDEvMr8/Hz8+OOP+P777zsMOA4fPhzwdfDvSvqwkdIPYmXIkCEh1w0dOhQOhwO1tbVISUlBQ0MDli9fjuXLl4d9jOCxBzOZTLjrrrtw11134dChQ/j888/x+OOP44033oDBYMA//vEPAEBLSwseeOABPP/88zhw4EBAjl/whzIQ+nrIzs4GABQWFoZcH+410tHP/sYbb3T683QkeDxWqxUAfM8tBcAlJSUB9+vVq5fvvt1RVVWFIUOGhGyYGjFiRMDzSqJ9H5aXl+P++++HTqdDeno6RowYgZycHN/tdXV1WLhwIV577bWQ10K44xbu+aN9jHDH3mw2o0+fPiHX++cJ//jjj9i2bVvE78NgtbW1Ub8fwv289957Ly644AIMHToUpaWlOOuss3DVVVd1me7l9Xrx+OOP429/+xv27NkDj8fjuy2SdK+vvvoK8+fPx5o1a0JSvBobG33vISCyv7dVVVUoLy8Pud+wYcO6HIskJSUFgwYNCrjO/+8nKRsDX1K9f/zjH7j66qtx4YUX4o9//CPy8vKg1+vxwAMPBMyedoderw97vRCHTRBWqxXnnnuuL/B966234HQ6A3a3R8Pr9eKMM87A7bffHvZ26Q+9JJocOX8dzf76f0BGQ9qkMnXqVEyfPj3sfbr6sPbXr18/XHbZZbj44osxatQovPHGG3jhhReQmpqKm2++Gc8//zxuvfVWTJgwAdnZ2dDpdLjsssvCbpbp6PUQ7vp4vEYied5EPXc0on1t9enTJ+wJo+S3v/0tKioq8Mc//hHHHnssLBYLvF4vzjrrrLDHLdzzR/sY4X7Xkfz+vV4vRo8ejUcffTTsfYNPmoJ15/0Q7uedNGkSdu3ahX/961/4z3/+g2effRaPPfYYnnrqqYDZ7GCLFy/Gn/70J1x77bW477770KtXL6SkpODWW2/tckPZrl27cNppp2H48OF49NFHUVhYCKPRiJUrV+Kxxx4L+X6lvJ5J3hj4kuq99dZbGDRoEN5+++2AICy47qgSOrNNmzYNF1xwAb799lu8/PLLGDdunG9Th7+dO3dCEISAn2nHjh0A4KuwMHjwYNjt9k4DiM5IMyJdVR2wWq1hS4QFz/pJwi217tixA+np6b5ZsczMTHg8nm6PPRyDwYAxY8bgxx9/xJEjR5Cfn4+33noL06dPD9iJ39raGreSZx397OGqYsSCtNFv586dAbOAR48ejXjVoqPH/f777+H1egNmfaXmINLzxkN9fT0++eQTLFy4EPfcc4/v+miW8GPxGJEaPHgwNm3ahNNOO63Lv0Hhbs/NzY3Z+6FXr1645pprcM0118But2PSpElYsGBBp4HvW2+9hV/+8pf4+9//HnB9Q0NDyGx3sPfffx9OpxPvvfdewGxuV+kdnSkqKgp7nLZv3x7xY3i9XuzevTvg5D/47ycpF3N8SfWkWQL/WYG1a9dizZo1AfeTdujLuY7rr371K/Tp0wcPPfQQPv/88w5new8ePBjQycpms2HFihU49thjkZ+fD0Cc0VqzZg0++uijkO9vaGiA2+3udCy5ubmYNGkSnnvuOezbty/gNv/f9eDBg9HY2Ijvv//ed92hQ4c67LS1Zs2agNzA/fv341//+hfOPPNM6PV66PV6XHzxxfjnP/8ZNugOV/LN348//hgyXkD8mdesWQOr1eoLsPV6fchs0l//+tduz1Z35d1338WBAwd8X3/zzTdYu3YtfvWrX8Xl+U477TSkpqaGlI964oknevS4Z599NqqrqwOqR7jdbvz1r3+FxWIJyUmPpXDvdwAhVUri/RiR+u1vf4sDBw7gmWeeCbmtpaUFzc3Nvq8zMjJC/j719P0gCS7TZrFYUFJSElBSLZxw75E333wz4HXc2fcCCEkhev755yMaczhnn302vv76a3zzzTe+62pra/Hyyy9H9Tj+7wFBEPDEE0/AYDDgtNNO6/bYSB4440uq8Nxzz4Wtn3vLLbfg3HPPxdtvv42LLroI55xzDvbs2YOnnnoKI0eOhN1u9903LS0NI0eOxOuvv46hQ4eiV69eKC0tjXkOa08YDAZcdtlleOKJJ6DX6wM2D/kbOnQorrvuOnz77bfo27cvnnvuOdTU1AR8oPzxj3/Ee++9h3PPPddXEqi5uRmbN2/GW2+9hb1793Y5Y/OXv/wFJ510EsrKyjBz5kwcc8wx2Lt3Lz788ENs3LgRAHDZZZfh//7v/3DRRRfh97//PRwOB5588kkMHTo07OaX0tJSTJkyJaCcGQBfVz0AePDBB/Hf//4X5eXlmDFjBkaOHIm6ujqsX78eH3/8Merq6joc86ZNm3DFFVfgV7/6FU4++WT06tULBw4cwIsvvoiDBw9i6dKlvg/kc889Fy+99BKys7MxcuRIrFmzBh9//HFEuYvdUVJSgpNOOgk33ngjnE4nli5dit69e3eYjtJTffv2xS233IJHHnkE559/Ps466yxs2rQJ//73v9GnT59ur4LMnDkTTz/9NK6++mqsW7cOxcXFeOutt/DVV19h6dKlyMzMjPFP0i4rKwuTJk3Cww8/DJfLhf79++M///mPr8Zvoh4jUldddRXeeOMN3HDDDfjvf/+LE088ER6PB5WVlXjjjTfw0Ucf4bjjjgMAjB8/Hh9//DEeffRRFBQU4JhjjkF5eXmP3g+SkSNH4pRTTsH48ePRq1cvfPfdd3jrrbcCNnmFc+655+Lee+/FNddcg4kTJ2Lz5s14+eWXQ3JkwznzzDNhNBpx3nnn4frrr4fdbsczzzyDvLw8HDp0KLJfYJDbb78dL730Es466yzccsstvnJm0ipEJMxmM1atWoXp06ejvLwc//73v/Hhhx/izjvvjGoTJslUQmtIEMWYVLapo3/79+8XvF6vsHjxYqGoqEgwmUzCuHHjhA8++CBsma2Kigph/PjxgtFoDCht1lHprVmzZoWMKbi0VDhSGac///nPYW+Xni9c6ZxvvvlGACCceeaZYb9XKi/10UcfCWPGjBFMJpMwfPhw4c033wy5b1NTkzBv3jyhpKREMBqNQp8+fYSJEycKS5YsEdra2iIa6w8//CBcdNFFQk5OjmA2m4Vhw4YJf/rTnwLu85///EcoLS0VjEajMGzYMOEf//hHp7/Tf/zjH8KQIUN8x8u/XJukpqZGmDVrllBYWCgYDAYhPz9fOO2004Tly5eHHaf/9z344IPC5MmThX79+gmpqamC1WoVTj31VOGtt94KuG99fb1wzTXXCH369BEsFoswZcoUobKyssPyYcFl9To6jtOnTxcyMjJ8X/v/jh955BGhsLBQMJlMwsknnyxs2rQp7GP6i3Q8Ujkr/9+n2+0W/vSnPwn5+flCWlqacOqppwrbtm0TevfuHVCGrSPhypkJgvh7ln53RqNRGD16tPD8888H3Ker11Y0z+fvp59+8r0ms7OzhUsuuUQ4ePBgSLnCzt5nPX2M4GMsmTx5sjBq1KiA69ra2oSHHnpIGDVqlGAymQSr1SqMHz9eWLhwodDY2Oi7X2VlpTBp0iQhLS0tpNxcJO8H6fiH+1tw//33C8cff7yQk5MjpKWlCcOHDxcWLVrk+zvQkdbWVuEPf/iD0K9fPyEtLU048cQThTVr1giTJ08OKNnXkffee08YM2aMYDabheLiYuGhhx4SnnvuuZDSYx0d93DP8/333wuTJ08WzGaz0L9/f+G+++4T/v73v0dcziwjI0PYtWuXcOaZZwrp6elC3759hfnz54eUbSNl0gkCs8KJlGTTpk049thjsWLFirBlz4qLi1FaWooPPvggCaOj7ti7dy+OOeYY/PnPf8bcuXOTPRw0NDTAarXi/vvvD+jCR0SkdMzxJVKYZ555BhaLxdddjqgnWlpaQq6TcllPOeWUxA6GiCjOmONLpBDvv/8+tm7diuXLl2P27NnIyMhI9pBIBV5//XW88MILOPvss2GxWPDll1/i1VdfxZlnnokTTzwx2cMjIoopBr5ECnHzzTejpqYGZ599dsBGL6KeGDNmDFJTU/Hwww/DZrP5Nrzdf//9yR4aEVHMMceXiIiIiDSBOb5EREREpAkMfImIiIhIE5jj2wWv14uDBw8iMzNTES1tiYiIiLRGEAQ0NTWhoKAgoFV6MAa+XTh48CAKCwuTPQwiIiIi6sL+/fsxYMCADm9n4NsFqbXm/v37kZWVFffnc7lc+M9//oMzzzwTBoMh7s9H8cHjqHw8hurA46gOPI7qEM/jaLPZUFhY2GVLdAa+XZDSG7KyshIW+KanpyMrK4tvbgXjcVQ+HkN14HFUBx5HdUjEcewqLZWb24iIiIhIExj4EhEREZEmMPAlIiIiIk1g4EtEREREmsDAl4iIiIg0gYEvEREREWkCA18iIiIi0gQGvkRERESkCQx8iYiIiEgTGPgSERERkSYw8CUiIiIiTWDgS0RERESawMCXiIiIiDQhNdkDICIiIoqI1wts3gzU1wNWKzBqFJASgzk8rxfYsiX2j0uyw8CXiIiIlGHGDDHwdToBkwkYMQKYPRuYOLH7j1lRATzxBLBtW2wfl2SJpzNEREQq5vUKqKy2Ye3uo6istsHrFZI9pOitXStebtoE5OQAxcXi5YYNwNy5YvDaHRUV4vevXx/bxyXZ4owvERGRSq2rqsOLFVXYediONrcHxlQ9SvIsmD6xCOOLeiV7eJHxeoHly4GLLwYGDQLcbvF6iwUYPBjYtQtYtgw44YTo0hO8XnGmt64OKCkBdLrYPC7JGo8kESWHlKv3xRfipdeb7BERqcq6qjos+nAbfjjQiCxzKgZY05FlTsWWg41Y9OE2rKuqS/YQI7NlC7Bjh/h/KTiV6HRAfj6wdat4v2gfd9s2oF+/2D4uyRpnfIko8ZhTRxRXXq+AFyuq0OBwobh3OnQ/B3YZplSkG/WoqnNgRUUVxhVakZKi6+LRkqy+Xvw70ZG0NKCmRrxfdx43LS22j0uyxhlfDVBFfhepB3PqiOJux+Em7DxsR16myRf0SnQ6HXItJvx42I4dh5uSNMIoWK3iyXFHWlrE263Wju8TboVJetyWlu4/LikOZ3xVThX5XaQezKkjSohGhwttbg/MhvABo9mgxxG7E40OV4JH1g2jRgFDh4r/F4ImbgQBqK4GysrE+4XT0QrTTTeJlxs2iH9//E8QInlcUiR+sqiYavK7SD2YU0eUENnpBhhT9Wh1ecLe3uoSJ0Ky0w0JHlk3pKQAM2eK/9+zB7DbAY9HvNy1S5yRnTUr/MlyZytMt98OTJ4sfv+uXdE9bhJxFbdnOOOrUqrK7yL1YE4dUUIMzctESZ4FWw42It2oD0h3EAQBtXYnSguyMTQvM4mjjEJ5ObByJTBmjJiqUFMjztyWlYnBabi9AZGsMH3xBfDww8Df/iaelEfyuEnEVdyeY+CrUtHkdw3Pz0rSKElz/HPqLJbQ25lTRxQTKSk6TJ9YhEUfbkNVnQO5FhPMBnEGuNbuRHaaAdMmFilv4uOZZ8QKD5F0WIt0hSk7G/jHP2TfuU1axW1wuJCXaYLZYEKry+Nbxb3rnBEMfiPAwFelVJXfReoxahRz6ogSZHxRL9x1zgjfDOERuxPGVD1KC7IxTakzhCkpwOjRkd03mhWmaB43CbiKGzsMfFXKP78rwxR6mBWV30XqkZIiliybO1dcZszPFz98WlrEoFemOXWy4PXKfkaK5Gd8US+MK7Rix+EmNDpcyE43YGhepjaCIxWtMHEVN3YY+KqU6vK7SD0mTgSWLGnfZS3znDpZYN3juPN6BdUGhykpOm0GQypaYeIqbuww8FUp1eZ3kTpMnCiWLOMMZtekXel1dWKuojRDLtU9XrKEwW8PccOQSqlohYmruLEj/6NN3Sbld40qyIat1Y2f6h2wtbpRWpDNJHhKPimnbtIk8VIBHz4JF7wr3WIB9Pr2Xen19WLdY7Z7Ds/rFTcvAeJlmN8Tyz6qnLTCNG4c0NAA7N0rXpaVKeqkUVrFrbU7IQTVMpZWcYfkWbiKGwHO+KqcpvO7iJQumrrHMt6YkxRSesju3cC8ecD11wODBgWkh3DDkEaoYIWpu6u4ak7h6S4Gvhqg2fwuIqVj3ePu8U8PKSoSr8vODkkP4YYhDZF51YZIRFulgyk84THwJSKSKxXtSk+Y4PQQo1G8PiMjpC02NwyR0kS6isuavx1Tzjw/EZHWSLvSq6vFXej+pF3pI0cqYld6wkSRHqKqtr6kGdIqbvmg3hienxU2vcE/hSfDlAp9ig4ZplQU9UpHY4sLKyqqNNvqmIEvEZFcSbvSrVZg1y4ITXbYHU401tbDuf1HCDnK2ZWeMJGkhzidQH09NwyRKkWTwqNF/GtJRCRnP+9KPzp0JA7sPYi6LTtQu78GFdkDsfSsmVjXf3iyRygv/ukh4filh0gbhrLTDKiqc6DZ6YbHK6DZ6UZVnYNlH0mR2lN49GFvNxv0aHN7NJvCwxxfIiKZW9d/OBafcStySn5Eoa4V7qwc7MotwmGHC//TeL5eiOCmBf7CNC1QZVtf0jTW/O0cA18i6hm20o0rKV+vvtWD7NJS7P956TIdQJHZwJJbwYKbFgwcKF7f3Azs2xe2aQHLPpKasHNr5xj4ElH3sZVu3LHkVjf4t8XevVu8rrGx07bYLPtIasHOrZ1j4EtE3cNWugnBklvdJDUt2LxZ7Nb19NPsEEiawRSejjHwJaLoBddKlWYipVa6frVSGWj0DPP1eiAlRSz3tneveMnXImkIU3jCY+BLRNFjK90OxbpFKPP1iKi7mMITioEvEUWPrXTDikeLUObrERHFDtd9KOG8XgGV1Tas3X0UldU2zXaPUbQoaqVqhdQi9IcDjcgyp2KANR1Z5lRfi9B1VXXdfmwpX29UQTZsrW78VO+ArdWN0oJsljIjIooCZ3wpoeIxI0ZJEFwr1T/dIUytVLULbhEqpSNkmFKRbtTHpOQY8/WIiHqOM76UMPGcEaMEC2qlC7sd8HjEy127wtZKVbNEtQiV8vXKB/XG8PwsBr1a5/WKVSu++EK89HqTPSIi2eOMLyVEImbEKMH8a6Vu2ybm9JpMndZKVSuWHKOEYw1tom5h4EsJwSL8KiXVStV45zaWHKOEYg1tom7T1qcTJU37jJg+7O1mgx5tbg9nxJQoJUUsWTZpkmYbBEglx2rtTghC4GZNqeTYkDwLS45RzwXX0LZYAL2+vYZ2fb1YQ5tpD0Rhae8TimIukioN/jNi4XBGjJRMKjmWnWZAVZ0DzU43PF4BzU43quocLDlGsRNNDW0iCsFUB+qRSKs0sAg/qR1bhMqM1ysGf3V17V+rAWtoE/UIA1/qNqlKQ4PDhbxME8wGE1pdHl+VBv/6oizCT1rAkmMy4b/xCwAWLABmzABuuEH5ua/+NbQtltDbNVhDmygaTHWgbgmu0pBhSoU+RYcMUyqKeqWjscWFFRVVAWkPLMJPWsCSY0kmbfxavx7IyQEGDhSv//578fqKiqQOr8ekGtrV1WLNbH9SDe2RIzVTQ5soWpzxpW7pbpUGzogRUdwEb/zS6cSNXwBwzDFAZaW48euEE5S7CVOqoT13rlgzOz+/vapDdbXmamgTRYvvDOqWnlRp4IwYEcWFVjZ+STW0x40DGhqAvXvFy7IyljIj6gJnfKlbWLeUSP68XkFbqyta2vjFGtpE3aK4d8iyZctQXFwMs9mM8vJyfPPNNxF932uvvQadTocLL7wwvgPUCNYtJZK3dVV1uPX1jZjz+ibc9c5mzHl9E259faO6W4P7b/wKR20bv1hDmyhqinqXvP7665gzZw7mz5+P9evXY+zYsZgyZQoOHz7c6fft3bsXc+fOxcknn5ygkaof65YSyZdUceWHA43IMqdigDUdWeZUX8UV1Qa/Ct74FUk9dCLqOUUFvo8++ihmzJiBa665BiNHjsRTTz2F9PR0PPfccx1+j8fjwZVXXomFCxdi0KBBCRyt+rFKA5H8dKfiimpIG7+sVnHjl90OeH5umrNnj2w3fmlydp4oSRST49vW1oZ169Zh3rx5vutSUlJw+umnY82aNR1+37333ou8vDxcd911+N///tfl8zidTjidTt/XNpsNAOByueByxb+drvQciXiuWBhTkIk//3oUdtbaYWtxISvNgJJcC1JSdIr5GeJBaceRQin1GO6oaUJVbRMKsgww6AQAfgGuDuiXacDe2iZsO1iPoX1VmIr0i18ADz8MLF8O7NgB189pD67x44FrrhFvl9Ex3bi/Hks+2o7GFjf6WIwwGwxodXnw46EGPLzSjrlThuHYQpWkZvSAUt+PFCiexzHSx9QJwQmaMnXw4EH0798fFRUVmDBhgu/622+/HZ9//jnWrl0b8j1ffvklLrvsMmzcuBF9+vTB1VdfjYaGBrz77rsdPs+CBQuwcOHCkOtfeeUVpKenx+RnISIiIqLYcTgcuOKKK9DY2IisrKwO76eYGd9oNTU14aqrrsIzzzyDPn36RPx98+bNw5w5c3xf22w2FBYW4swzz+z0FxkrLpcLq1evxhlnnAGDgRURlIrHUfmUegx31DThzrd/QKZZjwxj6J/45jY3mlo9WPzrUnXO+AZJ6HFcu9Y30wynU9xIN3QoMHMmUF4ecnceq8gp9f1IgeJ5HKUV+q4oJvDt06cP9Ho9ampqAq6vqalBfn5+yP137dqFvXv34rzzzvNd5/25V3tqaiq2b9+OwYMHh3yfyWSCyWQKud5gMCT0zZbo56P4kOtx1FyZqx6Q6zHsyIgCK4pyM7HlYCOKehkCGswIgoBDTS6UFmRjRIFVU8c87sexogK4/XaxeUa/fkCvXmIViW+/BXbuDFtf194moNnlhdVihhuhxyI11YBmlwv2NkFRr8F4Utr7kcKLx3GM9PEUE/gajUaMHz8en3zyia8kmdfrxSeffILZs2eH3H/48OHYvHlzwHV33303mpqa8Pjjj6OwsDARwyat8HoD62kOHZrsEXVoXVUdXqyows7DdrS5xXrLJXkWTJ9YxA2JKiBVXFn04TZU1TmQazHBbBBrbtfanay4Eg/hOsYBgMUCDB4sbrQL0zGO9dCJEk8xgS8AzJkzB9OnT8dxxx2H448/HkuXLkVzczOuueYaAMC0adPQv39/PPDAAzCbzSgtLQ34/pycHAAIuZ6oRyoqxA+9bdvalzdHjwYuvjjZIwshlblqcLiQl2mC2WBCq8vjK3Mlm2ocwScSLMwfFaniinSCc8TuhDFVj9KCbEzjCU7sRdMxbvRo301SPfQtBxuRbtSHzM7X2p0oLchmPXSiGFJU4HvppZeitrYW99xzD6qrq3Hsscdi1apV6Nu3LwBg3759SOGHIyVSRQUwd2778mZamri8+f33YuC7di1w0knJHiWA0DJX0odshikV6UY9quocWFFRhXGF8V0C7zLNItyJxIgRYpkqtmKN2PiiXhhXaGVKSyJ0s2McZ+eJEk9RgS8AzJ49O2xqAwB89tlnnX7vCy+8EPsBkXZ1trz58+oCnnlGDNZkcEK243ATdh62Iy/TFDCzBAA6nQ65FhN+PGzHjsNNGJ4fn42cXaZZdHQisWGDeH2YPEnqWEqKLm7Hkvz4d4yzWEJv76RjHGfniRJLcYEvkWx0tbwJANu3hyxvJkujw4U2twdmQ+jmTQAwG/Q4Ynei0RGfOpldpln8ahjGdyNPkijppI5xGzaIr1X/vwdSx7iysg47xnF2nihx+OlB1F1dLW8C4u1By5vJ4r+RJpx4bqSJpJvY6jc+hbA1wjxJIjnpqGOc3S5+HUHHOGl2vnxQbwzPz2LQSxQnDHyJust/ebMjHSxvJoO0kabW7kRw3xppI82QPEtcNtJEkmZRd6AGbQ5H53mSMjqRIAowcaKYijNuHNDQAOzdK16WlTFFh0hGmOpA1F1dLW8CwLBhHS5vJloyN9JEkmZRb8yAO9UIUzfyJIlkYeJEMRWHFUmIZIvvRqLu6mx5c88e8T4zZsjqQ0/aSDOqIBu2Vjd+qnfA1upGaUF2TEuZeb0CKqttWLv7KCqrbcg0p3aZZnGw/2C4hw8X8yGDO6lLeZIjR8rmRIIorJQUMad/0iTxUkbvfyLijK+isfuWDEjLm1L5rZoacVZy7Fjx9jBtSpMt3htpwlVuGJybgV4ZBhxqbO20XmnmnFuB2/8onkjk57dXdaiujihPkoiIqDMMfBWK3bdkJNzy5tChwKpVyR5Zh+JV5qqjyg1bD9mgT9FBn6LrPM2iqFf4E4myMjHoZZ4kERH1AANfBVJM9y0tkZY3Ja74lASTs0gaZBRkpyEn3YBdtc0d1ytlniQREcUJA1+FkUv3LaJgkVRuONrchnnnDEeKTtd5mkXwiQQRESmDzFvOM/BVGDl03yIKJ9IGGU0tbpQP6p3g0RERUdwpoOW8fEJwikh7cKEPe7vZoEeb2xO37ltEHUlmgwwiIkoyqeX8+vVATg5QXCxeSi3nKyqSPEARA1+FYXBBcpXMBhlERJREXq840yu1nLdYAL2+veV8fb3Yct7rTfZIGfgqDYMLkiupQUZ2mgFVdQ40O93weAU0O92oqnPEtUEGEREl0ZYtYnpDVy3nKyuTMz4/DHwVhsEFyVmiGmQQUajgxjFer9D1NxHFQn29mNPbVcv5hoaEDiscbm5TICm4kOr4dlgWiqibetIcJd4NMogoFGu7U1JZreJGtq5azufkJD34ZeCrUAwuKF5i8QEarwYZRBRKdbXdw5XDInkbNUqs3rBhg5jT65/uILWcLysDhg8H9u5N2jABBr6KxuCCYk11H6BEKqe62u4dlcO66aZkj4w6k5IiliybO1f2LeeTPwIikoXgD9AMUyr0KTpkmFJR1CsdjS0urKioYt4gkYxEU9td9jorh3X33UkeHHVp4kSx5fy4cWI6w9694mVZmXi9TOr4csaXiACwOQqREkXaOEb2td2Dy2FJf4Okclg//dR+P5IvBbScZ+BLRABU9AFKpCH+td0zTKEf6Yqp7d5VOay+fcX/V1YCY8fGfTg92eCreTJvOc/Al4gAqOgDlEhDpNruWw42It2oD1itkWq7lxZky7+2e1flsMxm8TIBFQFYIUPd5DP3TERJxeYoRMqjmtru/uWwwmltFS9zcuI6DGmD7w8HGpFlTsUAazqyzKm+Db7rquri+vwUfwx8iQiAij5AiTRGFY1jpHJY1dVi+St/ggDU1Ij/Hz48bkPgBl9tYKoDEfmwOQqRMim+tntX5bCkHN84bpLiBl9tYOBLRAEU/wFKpFGKr+0ulcOS6vjW1IjpD2VlwI03AkePxvXpucFXGxj4kmZx127HFP8BSkTK1FE5LI8HWLkyPs/5c6e4/J0/YejhGtSnD0F6mjHkbtzgqw4MfEmTuGuXiEimwpXD8nji81x+neIGOp240+HBdusAfH325dg9pL1smqIqZFCnuLmNNIe7duXJ6xVQWW3D2t1HUVlt4wYSIoqvoE5xuuJiZPXLw9BDu3Dhy4+h/9YN3OCrQpzxJU1RXV97leAMvMz9vBQs105MRFHroFNcVp8ceNPTYajcgV9++iYW55bAYDRwg6+KMPAlTeGuXfmRZuAbHC7kZZpgNpjQ6vL4ZuAVU45JrfyWguF0ipuNRowQd+BPnJjs0RF1Tyed4nLSjRCGFCPnSA0eKTXAOG4s94CoCE/ZSVPad+3qw95uNujR5vZw126CxKRuptcLbN4MfPGFeOn1Ju4HULugpWAUF4uXGzaI11dUJHmAMsPXonJ00SlOl54Gs9eNMRkChudnMehVEc74UlhqrXjAtrzy0uMZeM5Gxk8HS8GwWIDBg8Vaq8uWiTvwmfbA16LS+HeKs1hCb29pEW+3WhM/NoorBr4UQs35lqrpa68SPaqbKc1G1tWJy5VSsXtpNnLJEgYcPdHJUjB0OrHBwNat4v2Cd+BrDV+LyiN1ituwQTyR83+NC4LYNKOsTLwfqQpP0ymA2isesC2vvPjPwIfT4Qx88GykxQLo9e2zkfX14mwkl5q7r4ulYKSlibfX1yd2XHLD16IySZ3irFZx9cJuF0um2e3i11YrMGsWVzNUiEeUfLTSp1wVfe1VQpqBr7U7IQiBrytpBn5IniV0Bj6a2UjqHv+l4HC4FCzia1G5pE5x48YBDQ3A3r3iZVkZZ+lVjKkO5KOligdsyysP0gz8og+3oarOgVyLCWaDOANca3d2PAMfyWxkTQ1nI3uCS8GR4WtR2TrqFMeZXtVi4Es+WutTzra88iDNwEt55UfsThhT9Z3XzeTGlPiTloLnzhWXfvPz23NXq6u5FCxRwWtRrZuZIxauUxypFgNf8mHFA0qWqGfgORuZGNJSsFStoKZGDOLKysSgl0vBin8tqnkzM1E4DHzJhxUPKJmimoHnbGTicCm4cwp+LbJ5DGmR/N6JlDSseECKwo0piSMtBU+aJF7KMIhLKgW+FrWymZkoGGd8KUC38i2JkoWzkSQXCnstamkzM5E/Br4UghUPSFG4MYXkQkGvRa1tZiaSMPClsFjxgIgSwutVzCypmnAzM2kVA18ioi5ovtxTGDH5nVRUtFeMcDrFihEjRoibxWSYF6smQ/MyMaRPOpo3bEJJqguOjCwc7D8IQkoKNzOTqjHwJSLtiWKWceP+ery09gDLPfmJSQmsigqxEkJdndj1TKqEsGGDeL1MN4WpRcrXa3DPG4+gcf1m6Nuc8BpNqC44Bv+efDG+6juUm5lJtbieRETaUlEBTJ0KTJsG3HCDeDl1qnh9GEs+2o4fDjQiy5yKAdZ0ZJlTfeWe1lXVJXjwySeVwOrR78TrFWd66+qAkhKx8YNeL14OHiyekCxbJt6PYu/nk47e27egz4C+sPcrhM1sQcGeSlz25l9wrn0vS5mRajHwJSLtkGYZ168HcnKA4mLxUppl9At+pTJOjS1ulnv6WcxKYG3ZIqY39OsX2PABEL/Ozwe2bhXvR7EVdNKR1ScHIwdYMfiYvsgqHYbBqS7cun01xhfmJHukRHHBwJeItCHKWcadtXYAQB+LsctyT1oRTQmsTtXXizm9aWnhb09LE2+vr4/RyMknzEmHTgdYTKmwZphgGlAA3TaedJB6MfAl6ozXC2zeDHzxhXjJpVflinKW0dYilnEyG/RhH85s0KPN7dFUuaf2Elg9/J1YreJGtpaW8Le3tIi3W609HDGF4EkHaRw3txF1hDvO1SWSD/yaGt8HflaaAYchlnUyGUMDPS2We4pZCaxRo8T30oYN4my7/4mIIIitfsvKxPtRbPmfdFgsobfzpINUjjO+ROFEkQtKChFmllEQALvTjXpHG5obmyAY2z/wS3LFoOCovQ2CEJizKpV7GpJn0VS5p6F5mSjJs6DW7uzZ7yQlRTyBtFqBXbsAux3weMTLXbvE62fNYj3feJBOOqqrxTeAP+mkY+RInnSQavGvClEw7jhXp6AP/IYWF7YcbMSWgzZUHrTh6M59WJeRj3WWfgDgK+OUlZaKqjoHmp1ueLwCmp1uVNU5NFnuKSVFh+kTi5CdZuj572TiRLFk2bhxQEMDsHeveFlWFptSZlKaknSSyveriCcdpHFMdSBV6lFx/WhyQRXSnpTQ/oE/dy5aKndgf0oGHClGZHhd6NVUB7slCy+WnYMD/96Ou85JwZgCcdZy7pRhvjq+R+xOGFP1KC3IxjSN1vEdX9QLd50zwlfHt0e/k4kTgRNOiH3nNv80JQBYsACYMUMsX8c0pfaTDul3VFMjroaUlYlBL39HpGIMfEl1elxcP8pcUFKQiRPhffjP2PJ/9yN77070FtxwG4zYVzwcn556CZpLRqOxzoEVFVV4+NfiUu+xhVaML85l5zY/44t6YVyhNTa/k5SU2J5ABjfGyPq59fr337Mxhr94nXQQyRwDX1IVqbh+g8OFvEwTzAYTWl0eX3H9iIqyc/OHqu0oGY35v7kDI+v3o4+rGc3p7a1adYCvJJdUzgwQl/iH52clb9AyJMvfSXCakk4npikBwDHHAJWVYprSCScwwANif9JBpAAMfEk1govrS3VGM0ypSDfqUfXzTN64QmvnM1Pcca4uQe2JG9Py4fQKqC0eirowrwOzQY8jdqevnBkpCNOUiKgLDHxJNaIprt/pTJVfLih27RI/LNPSxJne6mpu/lCSMCXphh9TgrEDf4kDlnGdluSSypmRgjBNiYi6wE9uUo2YFdcH4r/jnOKvg5J0WVt/wOyVTyH3h3WdluSSypmRgrAxBhF1gTO+pBoxK64v4eYP5QqX6wkAFgt0JYORX7kDl3z9Hu4dOBJ9stJgNoivm1q7U5NlylSDaUqRCUr/4d810hIGvqQaUnH9LQcbkW7UB6Q7SDN5pQXZ0TUc4OYPZeoi1zOtsD+OO3wIp3mP4H+t/cKW5HK5VJTjq5VAJ1yaklTVYc8epikB7EiZYD0qrUlxwcCXVEMqrr/ow22oqnMg12LiTJ5WRZDrmS548H/lfXHR8LHq/lCKMNBRzQd0cI3ahgbx+rFjgeuv13ZwF1zqTdq7IHWkZBpXTPW4tCbFBQNfUpWYFtcn5YqwJF1K717yK8kVSxEGOqr7gPZPU6qrE4Pf5cvF14RWdZL+g8GDxRlylnqLmZiU1qS4YOBLqhPT4vqkTMz1jDjQWddvKBb9e7v6PqClNCWXC1i5ksEcS70lTMxKa1JcaPwvAamVVFy/fFBvDM/P4h8XrZFyPa1WMcCz2wGPR7zctUsbuZ4RBDrClq34zxuf+j6gM0yp0KfokGFKRVGvdDS2uLCiogperxD+OUg5Iin15nSy1FsMRFNakxJPxX/1iUjTtF6SLoJAp83hQP2BGn5A95DXK6Cy2oa1u4+istomzxMFlnpLmJiW1qSYY6oDEamXlkvSRZDn7E41ot6Y0ekH9BG7kx/QnVBMfjTTfxIm5qU1KaY08NefSEa8XmDzZuCLL8RLrzfZI1I/Kddz0iTxUgtBL9Ae6FRXi4GNv58DHffwETjYfzBaXZ6wD8EP6M5JG5h+ONCILHMqBljTkWVO9eVHr6uqS/YQ2zH9J2Gk0pq1dmenTXKiKq1JMcNXOFGiVFQAU6cC06YBN9wgXk6dKl5PFGsRBDqZc27B4PwsfkB3Q/AGJkXkR2s9/SdBpNKa2WkGVNU50Ox0w+MV0Ox0o6rOwdKaScZUB6JEYP1MSobgmrY1NWL6Q1kZMGsWUiZOxPSfZy1Z+zo60WxgklXJPC2n/ySQLEtraqWRTRcY+BLFG+tnEpLYIKKLQEeWH9AK0L6BKXxtYFnnR7MjZULIqrQmO/b5MPAlijel1c/krEDMJX0DVBeBjqw+oBWCG5goElJpzaTiimMABr5E8RZJ/cyaGnnUz+SsQMwppYOTLD6gFUTawLTlYCPSjfqAdAcpP7q0IJv50ZRcXHEMoY2fkiiZlFI/U5oVWL8eyMkBiovFS2lWgJvwoqbIDVAUEW5gIkWIZsVRIxQX+C5btgzFxcUwm80oLy/HN9980+F9n3nmGZx88smwWq2wWq04/fTTO70/UVxEUFYKI0cmt35m8KyAxQLo9e2zAvX14qwAy69FhR2c1E3Kjx5VkA1bqxs/1Ttga3WjtCBbNjP5pHHs2BdCUakOr7/+OubMmYOnnnoK5eXlWLp0KaZMmYLt27cjLy8v5P6fffYZLr/8ckycOBFmsxkPPfQQzjzzTGzZsgX9+/dPwk9AmiSVlZo7V1xWys9vz7GqrpZH/Uyl5SErhKI3QFFEmB8dXtI2c1KgCBrZyGLFMYEUFfg++uijmDFjBq655hoAwFNPPYUPP/wQzz33HO64446Q+7/88ssBXz/77LP45z//iU8++QTTpk1LyJgpCeS4OauLslJJz59VUh6ygnADlDYwPzpQ0jdzUjt27AuhmMC3ra0N69atw7x583zXpaSk4PTTT8eaNWsiegyHwwGXy4VevTp+4zmdTjidTt/XNpsNAOByueByxX9WRnqORDyXKq1dCyxfDuzY0b45a+hQYOZMoLw8YcMIexx/8Qvg+eeBykqxaHxODjB8uBiUJ/t4Z2cDWVligwOzOfT2tjbx9uzs5I81QWLxXjzGasawvHRUHrIhy5gWsgGqsbkVI/pl4Rirme/5OOHf1MTauL8eSz7ajsYWN/pYjDAbDGh1efDjoQY8vNKOuVOG4djC6GcXeRx74KabgLvvBn76CejbV/wb39oqTmb07QvceKP4t98TvoNjLMXzOEb6mDohuF2PTB08eBD9+/dHRUUFJkyY4Lv+9ttvx+eff461a9d2+Rg33XQTPvroI2zZsgXmcB/uABYsWICFCxeGXP/KK68gPT29+z8AEREREcWFw+HAFVdcgcbGRmRldbwCo5gZ35568MEH8dprr+Gzzz7rMOgFgHnz5mHOnDm+r202GwoLC3HmmWd2+ouMFZfLhdWrV+OMM86AwcDlz4h5vcCMGcCmTcCgQaHLOXv2AGPHirPBCUh7UORxXLtWnBVoaAidFcjJAe6/P6Gz5skWy2O4cX89Xlm7H7trm31Lv4NzM3B5eWG3Zr8ocop8LyrUjpom3Pn2D8g065FhDA0vmtvcaGr1YPGvSzG0b3Rl3uR+HL1eATtr7bC1uJCVZkBJrkV+Oc1eb/gVxwSK53GUVui7opjAt0+fPtDr9aipqQm4vqamBvn5+Z1+75IlS/Dggw/i448/xpgxYzq9r8lkgskUuhHFYDAk9M2W6OdTvM2bxX+9egFud+jtVivw/fdiCkQCN2cp6jiedBKweHFoHd9Ro+SRh5wksTiGvxiUh/HFudzsk0SKei8qlL1NQLPLC6vFDDdCX9upqQY0u1ywtwndPhZyPI6KymkeOzbZIwAQn+MY6eMpJvA1Go0YP348PvnkE1x44YUAAK/Xi08++QSzZ8/u8PsefvhhLFq0CB999BGOO+64BI2WEo6bs2Kji/a21H3cAEVqp8XNnEppUEPtFBP4AsCcOXMwffp0HHfccTj++OOxdOlSNDc3+6o8TJs2Df3798cDDzwAAHjooYdwzz334JVXXkFxcTGqq6sBABaLBZZwZT1IuViyJXa6aG9LRBSO1rrZBTeokX7eDFMq0o16VNU5sKKiCuMKrVzdkRFFTeNceumlWLJkCe655x4ce+yx2LhxI1atWoW+ffsCAPbt24dDhw757v/kk0+ira0Nv/nNb9CvXz/fvyVLliTrR6B4UUKTCCKKP69XTHv64gvxUqVNV7xeAZXVNqzdfRSV1TZZdP/TWjc7NqhRJkXN+ALA7NmzO0xt+OyzzwK+3rt3b/wHRPKghCYRRBRfFRWhOeqjRwMXX5zskcWUnHNKpW520viO2J0wpupRWpCNaTIYXyyxQY0yKS7wJeqQ3JtEEFH8VFSIJ751dWIHQunE9/vvxcB37VpxA6fCKSGnVCvd7LSY06wGDHxJXbg5izRI8+1hvV7xhLeuDigpaS9naLGIZZsA4JlnxL8PCv5boKScUi1s5tRaTrNaMPAl9eHmLNIQOS97J8yWLeIqT79+gTW8gfavt28X76fgvw3R5JSqPeiUAymnedGH21BV50CuxQSzQZwBrrU7VZfTrBbKPfUlItI4adn7hwONyDKnYoA1HVnmVN+y97qqumQPMTG6KmcIiLcrvJxhe06pPuztZoMebW4Pc0oTSMppHlWQDVurGz/VO2BrdaO0IFsWaScUijO+REQKpKRl77jrqpwhoIpyhswplSet5DSrBWd8iYgUiKWU/HRVzhAAhg1TfDlDKae01u6EEPRzSjmlQ/IszClNAimnuXxQbwzPz2LQK2MMfKljGqmHSaREXPb2I5UztFrFcoZ2O+DxiJd79oj3mTFD0RvbAO3VySWKB6Y6UHjh6mGOGCF+uLAsGFHScdk7SEflDMeOFW8vL0/u+GJES3VyieKBgS+F6qge5oYN4vVLljD4JeXzehVd9o6llMIIV85w6FBg1apkjyymmFMaPc2X/CMfBr4UqLN6mIMHi8uIy5aJHy4KChKIAqhgRYOllDoQXM7Qpc5UDy3UyY0Vlvwjf4xcKFBX9TDz84GtW8X7ESmRtKKxfr3Y3KC4WLyUVjQqKpI8wMixlBJR51jyj4JxxpcCdVUPMy1NzJ1TeD1M0qhoVjQUgsveROGx5B+Fw8CXAnVVD7OlRRX1MEmjolnRGD48OWPsBi57k1rEMheXne4oHAa+FEiqh7lhgzgD5v/HQhDEOpllZYqvh0kaxRUNItnqLBd3TEH0mzTbS/6Zwt5uNuhxxO7URsk/8mGOLwXqrB7mrl3i9bNmcWMbKZP/ikY4XNEgSoqucnE37o/+ZNS/5F84miv5RwAY+FI4Uj3MceOAhgZg717xsqyMpcxI2brq8FVdDYwcyRUNogQKzsXNMKVCn6JDhikVRb3S0djiwqtr90f9uOx0R+Ew1YHCC1cPU2F1TolCSCsac+eKKxj5+e11qqurA1c0POFniYgotiLJxd1V24zJRdE9Lkv+UTgMfKljwfUwidSgow5fZWVi0JvkFQ0W2ietiSQXt7G5tVuPzU53FIyBL2lbUPcu74iR2HGkmUGH2sl0RYOF9kmLIm2/3V0s+Uf+GPiSdgV173Lo9NiaMwCv/uI8bCocyaBD7WS2oiFt7mlwuJCXaYLZYEKry+Pb3MOGFKRWkbTfHluQCaD71VZY8o8kTNgkbQrq3tXQtz92uQzI/XErrn//SZxydCe7+1DCRLK5Z0VFFbxeoesHI1IYKRc3O82AqjoHmp1ueLwCmp1uVNU5kJ1mwOXlhckeJqkEA1/SnqDuXUKGBT81OmFPNaO+XyEsLU04/b9vwWJIYdBBCRFNoX0iNeqq/faxhSwxSLHBVAfSnqDuXc1ON5rbPDCmpgA6HRqzeqPg4B4UHNiNA4Ul7O5DccdC+0Sd5+K6XHztx0zQ3hY57G9IJAa+pD1B3btcHi+8XgH6VPGN32Y0IdtWhwyHDQCDDs0I/jAYOjRhTx3p5h41F9pnNQsCmIsbd0F7W2AyibXNZ89OekWbRGHgS9rj373LYoFBn4KUFB08XgH6FB2MbU64DUY0p4t/fLUQdGheuA+D0aOBiy9OyNNHsrmntCBbtYX2Wc2CKAGkvS11deKKp1TDfMMG8XqNNKjSztw2kSSoe1eGMRUZRj3a3F5AEJBtO4qDBcfgYP9B7O6jBUEbHVFcLF5+/714+9q1cR9CJJt71Fpov6tWtdxYShQDQXtbYLEAer14OXiwuNK1bJl4P5Vj4EvaI3XvslqBXbuga7ZjQLYJFncLrIf2w56WiY9/+RvYXV7VBx2a19mHwTHHiPd55pmEfBh0tblHjTOfrGZBlCBBe1sC6HRiF8utW8X7qRxTHUibgrp35TidMBr02DpkpFjHt3cJjD8HHezuo2JdfRgAwPbt4v0SUPNXa4X2o6lmwbxPoh4I2tsSIi1N7GJZ3/1ayUrBwJe0K6h7V7rVirIRI2Fh5zbt6OrDABBvT+CHgZY297CaBVGCBO1tCdHSIt5uVX/ZOAa+pG1B3btSAM0EHYSuPwwAzXwYJAOrWRAliLS3ZcMGMafXf4VFEMQ9L2Vl4v1Ujjm+RDLg9QqorLZh7e6jqKy2MacxUYI2OgaQvh42TBMfBskgVbOotTshBP3+ubGUKIaC9rbAbgc8HvFy1y7x+lmzNFHPlzO+REnGUk5JJH0YzJ0r/vHPz28v8SOlN8yYoYkPg2SQqlks+nAbquocyLWYYDaIM8C1dic3lhLFUtDeFtTUiCtaZWVi0KuBUmYAA1+ipJJKOTU4XMjLNMFsMKHV5fGVclLrbn5Z6ejDYOxY8fby8uSOT+WkahbSyd8RuxPGVD03lhLFQ9DeFnZuI6KECS7lJO1qzzClIt2oR1WdAysqqjCu0MoZr3gL92EwdCiwalWyR6YJWqtmQZRUQXtbtIaBL1GSJLKUE9vBRiD4w8DFSgKJpKVqFkSUPAx8iZIkUaWcmENMJD88GSVKDga+REmSiFJOzCEmkh+ejBIlT7eymT/55BOce+65GDx4MAYPHoxzzz0XH3/8cazHRqRq8S7lxHawRPIjnYz+cKARWeZUDLCmI8uc6jsZXVdVl+whyoPXC2zeDHzxhXiZgLbhpA1RB75/+9vfcNZZZyEzMxO33HILbrnlFmRlZeHss8/GsmXL4jFGIlWSSjllpxlQVedAs9MNj1dAs9ONqjpHj0s5RZNDrEn8YKUE48lohCoqgKlTgWnTgBtuEC9nzEj2qEglok51WLx4MR577DHMnj3bd93vf/97nHjiiVi8eDFmzZoV0wESqVk8SzmxHWwnKiray5c5nWL5shEjxJq+GqllSYmXyA2tilVRIdbVrqsD+vVrr6v9/ffAxRcDa9cCJ52U7FGSgkUd+DY0NOCss84Kuf7MM8/E//3f/8VkUERaEq9STmwH24GOPlg3bBCvX7KEwS/FBU9Gu+D1iiekdXVASUl7W12LBcjJEf//zDPi+1NDdWcptqJ+5Zx//vl45513Qq7/17/+hXPPPTcmgyLSGqmUU/mg3hienxWT3d1sBxtG8AerxQLo9eLl4MFiDd9ly5j2QHHhfzIajmZPRiVbtoirMP36tQe9Eunr7dvF+xF1U0Qzvn/5y198/x85ciQWLVqEzz77DBMmTAAAfP311/jqq6/whz/8IT6jJKKosR1sGF19sObnA1u3ivcbPjw5YyTVkk5GtxxsRLpRH5DuIJ2MlhZka+tk1F99vZh6lJbW8X2czvZ24kTdEFHg+9hjjwV8bbVasXXrVmzdutV3XU5ODp577jncfffdsR0hEXUb28EG6eqDNS1NbFnMD1aKA56MdsFqFfPtW1rEVZhwTCbxfgrHOs7JE1Hgu2fPnniPg4jihO1g/XT1wdrSopoPVpInnox2YtQocZPphg1i6pH/qoyUrjVsmHg/BWMd5+RiAwsiDWA72J919cFaXQ2UlYn384TPwyTqKZ6MdiAlRaysMncusGuXmHokbT6VVmFmzFD0xjY2FUo+5b56iIiiJX2wWq3iB6vdLga4drv4tdUKzJql6A9WUoZ4bGhVhYkTxcoq48YBDQ3A3r3i5dix4u3l5QkbitcroLLahrW7j6Ky2tbj+sqs4ywPnPElIm2RPlilOr41NWJ6Q1mZGPSylBlRck2cCJxwgrjJtL5ePCEdOhRYtSphQ4hHOgLrOMsDA18i0p5wH6yjRnGml0guUlKA0aPbv3a11zaO98aweKUjsI6zPEQV+LrdbixevBjXXnstBgwYEK8xERHFX/AHazS8XgbNxNdBEmzcX4+X1h6I28aw4HQEaWY2w5SKdKMeVXUOrKiowrhCa9TBNpsKyUNUgW9qair+/Oc/Y9q0afEaDxGRvLHdMQF8HSTJko+2o7bZE7eNYfFMR2AdZ3mI+tT01FNPxeeffx6PsRARyZvU7nj9erGFanGxeCm1O66oSPIAKSH4Okg4acNXY4s7rhvD2tMR9GFvNxv0aHN7upWOINVxzk4zoKrOgWanGx6vgGanG1V1DtZxTpCoc3x/9atf4Y477sDmzZsxfvx4ZGRkBNx+/vnnx2xwRKQRSlgyDm53LM3WSO2Od+0S2x2fcIL8xk6xw9dBUuystQMA+liMcd0YFu90BNZxTr6oA9+bbroJAPDoo4+G3KbT6eBh7UsiioZSloyjaXfc3dxhkj++DpLC1iLOsJoNeoSb043VxrBEpCOwjnNyRX066vV6O/zHoJeIoqKkJeNI2h07nWx3rHZ8HSRFVpo4w9rqCh9nxGpjWKLSEVjHOXl6tA7T2toaq3EQkdYELxlbLIBe375kXF8vLhl7vckeqci/3XE4bHfcoVg3Akgqvg6SoiRXbDF+1N4GQQh8/UgzsUPyLJ3PxHq9wObNwBdfiJcd/G2R0hFGFWTD1urGT/UO2FrdKC3IZmc1FYg61cHj8WDx4sV46qmnUFNTgx07dmDQoEH405/+hOLiYlx33XXxGCcRqY3SloyjaXdMPvFoBJBUfB10LQ45+9KMaFZaKqrqHMi1mGA2iLm4tXZn1zOxUaZUMR1BvaJ+JS5atAgvvPACHn74YRiNRt/1paWlePbZZ2M6OCIl8noF7KhpAgDsqGlS9uxWPCltyZjtjqMmNQL44UAjssypGGBNR5Y51Vd+al1VXbKHGD2+DjpXUQFMnQpMmwbccIN4OXVqzNKW5k4ZFv1MbDdTqpiOoE5Rz/iuWLECy5cvx2mnnYYbbrjBd/3YsWNRWVkZ08ERKY00u1VV24Rri4A73/4BRbmZyp3diif/JWOLJfR2OS4Zs91xxOLZCCDp+DoITwow6+rElZy0NPF9LAWYS5b0+HdzbKEV44tzI5+JZRUOChJ14HvgwAGUlJSEXO/1euFysc0eaZd/m8uCLHGDRaZZH9Pi6qqi1CVjtjuOSDwbAcgCXweBEhhgSjOxEVFaShXFXdSvvpEjR+J///tfyPVvvfUWxo0bF5NBESlN8OxWhlE8p8wwxra4uqooeclYanc8aZJ4KccxJlk8GwHIBl8H7aIJMBNJaSlVFHdRz/jec889mD59Og4cOACv14u3334b27dvx4oVK/DBBx/EY4xEshc6u9Ue4KpiditeuGSsWvFuBEAyE0mAWVOT+ABTiSlVFFdRB74XXHAB3n//fdx7773IyMjAPffcg7KyMrz//vs444wz4jFGItlrn90yhb09VsXVVYlLxqqUiEYAJCNyDTCVmlJFcRN14AsAJ598MlavXh3rsRApFme3ekhaMibVkBoBLPpwW/fKT5GyyDXAlFKq5s4VU6jy89s33VVXyzuliuIi6iM9aNAgHD16NOT6hoYGDBo0KCaDIlIaaXar1u7sfnF1IpWJVSMAVTXAUCs55+xLKVXjxgENDcDeveJlWVlMKk2QskQ947t3796wrYmdTicOHDgQk0ERKU3w7Fa/THFmt7nNjUNNLs5ukWb1tBGA6hpgRCsOzSDiRs45+0ypop9FHPi+9957vv9/9NFHyM7O9n3t8XjwySefoLi4OKaDI1ISaXZLquMLAE2tHpQWZGOaVj6kicKIqvyUH/8SgXmZJpgNJrS6PNopERhltzFZkHOAyZQqQhSB74UXXghA3KE+ffr0gNsMBgOKi4vxyCOPxHRwREojzW5tO1iPnev+h8W/LsWIAgUW6CdKMlU3wIhEAppBxA0DTJKxiANfr9cLADjmmGPw7bffok+fPnEbFJGSpaToMLRvJnYCGNq3Z73dvV6BveJJk1TfAKMz7DZGFDdR5/ju2bPH9//W1laYzeaYDog0Skl5bAmi+dxG0jRNlwhktzGiuIk6svB6vbjvvvvQv39/WCwW7N69GwDwpz/9CX//+99jPkDSgIoKYOpUYNo04IYbxMupU8XrZSZRu8ul3MYfDjQiy5yKAdZ0ZJlTfbmN66rq4vK8RHLhXyIwHFWXCGS3MaK4iTrwvf/++/HCCy/g4YcfhtFo9F1fWlqKZ599NqaDIw2Q8tjWrwdycoDiYvFSymOTUfC7rqoOt76+EXNe34S73tmMOa9vwq2vb4x5EBrS/tiUCn2KDhkmtj8m7dB0iUD/ZhDhsNsYUbdFHfiuWLECy5cvx5VXXgm9vr0H+9ixY1FZWRnTwZHKBeexWSyAXt+ex1ZfL+ax/ZxfnkyJnIGNJreRSK2kEoHZaQZU1TnQ7HTD4xXQ7HSjqs6h7hKBUjOI6mqx+YM/qRnEyJHsNkbUDVEHvgcOHEBJSUnI9V6vFy6XCnOtKH6iyWNLokTPwLbnNurD3m426NHm9qgzt5HIT6waYCiOnJtBEClc1O+akSNH4n//+1/I9W+99RbGjRsXk0F1ZtmyZSguLobZbEZ5eTm++eabTu//5ptvYvjw4TCbzRg9ejRWrlwZ9zFShBSSx5boGVhN5zYSBRlf1AtLLz0Wj146FosuGo1HLx2Lxy49VtZBb0z2ArDbGFFcRF3V4Z577sH06dNx4MABeL1evP3229i+fTtWrFiBDz74IB5j9Hn99dcxZ84cPPXUUygvL8fSpUsxZcoUbN++HXl5eSH3r6iowOWXX44HHngA5557Ll555RVceOGFWL9+PUpLS+M6VoqAfx6bxRJ6u0zy2BK9u1zKbdxysBHpRn1AsC3lNpYWZKszt5EojO42wEiGmFZjkXMzCCKFijrwveCCC/D+++/j3nvvRUZGBu655x6UlZXh/fffxxlnnBGPMfo8+uijmDFjBq655hoAwFNPPYUPP/wQzz33HO64446Q+z/++OM466yz8Mc//hEAcN9992H16tV44okn8NRTT4V9DqfTCafT6fvaZrMBAFwuV0JSOaTn0ETayNChYime778XN7T5z6YKgviHfuxY8X5J/H1YjDpkGFLgdrtgMoa+ZZxuNzIMKbAYdSHHr7vH8ary/ljykR2H6pvR22KE2SDOAB+1t6FPeiqmlveHx+NGmO7hFCOaei+qWCKP48b99Vjy0XY0trjRx2KE2WBAq8uDHw814OGVdsydMgzHFnbjRH748Pb/ezzQ4huf70d1iOdxjPQxdULwdlmZamtrQ3p6Ot566y1fFzkAmD59OhoaGvCvf/0r5HsGDhyIOXPm4NZbb/VdN3/+fLz77rvYtGlT2OdZsGABFi5cGHL9K6+8gvT09B7/HEREREQUWw6HA1dccQUaGxuRldXxClHUM77+7Ha7r6ObpLMn64kjR47A4/Ggb9++Adf37du3w2oS1dXVYe9fXV3d4fPMmzcPc+bM8X1ts9lQWFiIM888M24/mz+Xy4XVq1fjjDPOgMGgkRzOtWuB5cuBHTva+9EPGwbMmAGUlyd7dADaZ3JsLe6QGdistNSQmZxYHUevV8DOWjtsLS5kpRlQkmtR5y52GdLke1GFEnUcd9Q04c63f0CmWY+MMCtDzW1uNLV6sPjXpRjal2lK0eL7EeE/K4cOBWbOlM1nZVfieRylFfqudKtz2+zZs/HZZ5+htbXVd70gCNDpdPAofAnGZDLBZArN5TQYDAl9syX6+ZLqpJPEXDYZ57H9YlAebj87tT13r8kFY6oeQ/vlYFonuXuxOI6jBsh3E48WaOq9qGLxPo72NgHNLi+sFjPcCD05TU01oNnlgr1N4OupBzT7fqyoAG6/XSz/2a8f0KuXuA/m22+BnTsVt+ExHscx0seLOvCdOnUqBEHAc889h759+4bsco+XPn36QK/Xo6amJuD6mpoa5Ofnh/2e/Pz8qO5PSZSSIvvWm+OLemFcoRU7Djeh0eFCdroBQ/MyOQNLBGi+7bh/NZYMU+hHK6uxULcF17yX4i6p5v2uXWLN+xNO0NR7rruiDnw3bdqEdevWYdiwYfEYT4eMRiPGjx+PTz75xJfj6/V68cknn2D27Nlhv2fChAn45JNPAnJ8V69ejQkTJiRgxKRGPdld7vUKqgma1fSzUAxUVIgfzNu2tS/Bjhgh1qJV0CxUT7AaC8VNNDXvZT6BJAdRB76/+MUvsH///oQHvgAwZ84cTJ8+HccddxyOP/54LF26FM3Nzb4qD9OmTUP//v3xwAMPAABuueUWTJ48GY888gjOOeccvPbaa/juu++wfPnyhI+dtC2mJY6STE0/C8WA1HZcWoJNSxOXYKW24wpbgu0uqdPcog+3oarOgVyLybcXoNbuVHenOYqvSGre19Qkvea9UkQd+D777LO44YYbcODAAZSWlobkVIwZMyZmgwt26aWXora2Fvfccw+qq6tx7LHHYtWqVb4NbPv27UOK3zT/xIkT8corr+Duu+/GnXfeiSFDhuDdd99lDV9KKKndcYPDhbxME8wGE1pdHl+7YyV1oFLTzwJA88vzPcYl2ABSpznpxPCI3QlTig5nuA/joj7pGGY7AHhzNPG7oBhSSM17pYg68K2trcWuXbt8s6yA2L0qUZvbZs+e3WFqw2effRZy3SWXXIJLLrkkrmMi6khwu2Np+TPDlIp0ox5VdQ6sqKjCuEKr7GeC1PSzAODyfCxwCTaE/14Az/++woBXn0PW7p3QtfE1JntyPREeNUp83WzYIJ5QBte8r64WO/qNGpW8MSpI1IHvtddei3HjxuHVV19N6OY2IiXaWWuPuN2x3DtTRdO6We4/S0TL87/4RbJHKX9cgg0rJUWH4bt/AB67T/MpIIoh5xPhlBRxHHPniqso+fntr6fqajFInzVLHkG6AkQd+FZVVeG9995DSUlJPMZDpCq2lsS2O46nRLdujptIl+efey6541QCuS7B+s/cZWcn9rml52cKiHIoIU994kRxHFJwXlMjvrfKysSgN9njU5CoA99TTz0VmzZtYuBLFIGsNPWUOFJNuaZIl+c7aIxDfuS4BBs8c5eVBcybJxb/P+mkxIyBKSDKoaSTlIkTxXHIMR1DQaIOfM877zzcdttt2Lx5M0aPHh2yue3888+P2eCIlK4k16KaEkeqKdcU6fJ8Q0NCh6VIcluCDTdzJ+07uftuYPHixMyMMQVEOZR2kqKAmvdyF3Xge8MNNwAA7r333pDb1NC5jSiWElHiKFE1dVVTrinS5fmcHAa/kZDLEmxHM3dms3jZ0JC4mTu5poBQKJ6khKXmWu1RB75erzce4yBSrXAljoypepQWZHfa7jgSia6pG8+fJWEiXZ4fPhzYuzdpw1QUOSzBSjN3+flAUxPgcgEGg9jaFQD69k3czJ0cU0AoPJ6khFB7rfaoA18iil482h0nq6au4ls3y215Xi2SvQRbXy/+q6kBmpvFGeCUFKBPH/F2s1mc2UvEzB1fY8rBk5QAqqvVHka3At/m5mZ8/vnn2LdvH9ra2gJu+/3vfx+TgRGpTU/aHQdLdk3dWP4sSRHJ8rxL5tUpKFBVFVBbKwYraWmAXi/m99ps4u3SMU7UzJ1cUkCoczxJ8Un250qiRB34btiwAWeffTYcDgeam5vRq1cvHDlyBOnp6cjLy2PgS/Im1wLlUVJVTd1kkcPyPMWG1wusXNke7Kb+/NGWmioGmwCwZw9w2mmJnbnja0wZeJICQDufK1EHvrfddhvOO+88PPXUU8jOzsbXX38Ng8GAqVOn4pZbbonHGIliQ84FyqOkmpq63RHLk5dkL89TbGzZIpafKykR87Kbm8XUhpQU8fUCiAHxr36V+KCTrzFl4EmKZj5Xog58N27ciKeffhopKSnQ6/VwOp0YNGgQHn74YUyfPh2//vWv4zFOop5RQoHyKKimpm60VHTyQjEk7cwvLgbS08XZXbtdDHqlmavevYGioqQOk2RO4ycpWvlcifpUxmAwIOXnM6C8vDzs27cPAJCdnY39+/fHdnREsRBc5shiEZdEpQLl9fVimSMFVSyRaurW2p0QBCHgNqmm7pA8i/xr6kZDOnlZv14sNVZcLF5KJy8VFUkeYOS8XgGV1Tas3X0UldU2eL1C199EHfPfmW+1AuPGAcceKwYxY8a030dDO/OJoqWVz5WoZ3zHjRuHb7/9FkOGDMHkyZNxzz334MiRI3jppZdQWloajzES9YzSCpRHQDU1dSOlpO5KXVB7qaCkCLczP+vnHEQp33fYMM3szCfqDq18rkT9CbF48WL069cPALBo0SJYrVbceOONqK2txfLly2M+QKIei6RAeaLKHMWQVFN3VEE2bK1u/FTvgK3VjdKCbFWUnAkQzcmLjEmlgn440IgscyoGWNORZU71lQpaV1WX7CEqk7Qz32oVT4LsdjGn124X0x4AYMYM2Z8UESWbFj5XoprxFQQBeXl5vpndvLw8rFq1Ki4DIw1IVIUFFRcoV3xN3UipoLuSVkoFJU1HO/PHjhVvLy9P7viIZCy4U9ujl4zFziN2VX6uRB34lpSUYMuWLRgyZEi8xkRakMhNSiovUK74mrqRUMHJi1ZKBSVVuJ35Q4cCnKAh6lBn6Vflg3one3gxF9X0WkpKCoYMGYKjR4/GazykBYnepNTZMuiuXZoqUK5Y0slLdbV4suJPOnkZOVLWJy/tpYL0YW83G/Roc3sUXyoo6aSd+ZMmiZd8XxN1SIvpV1H/RXjwwQfxxz/+ET/88EM8xkNql6wKC9Iy6LhxQEODWOuzoUGc6VVYKTNNUsHJi3+poHDUUiqIiJQhOP0qw5QKfYoOGaZUFPVKR2OLCysqqlRXdSbqqg7Tpk2Dw+HA2LFjYTQakRaUc1dXp76zA4qhZFZYYIFyZVN4dyWpVNCWg41IN+oD0h2kUkGlBdmKLxVE2hKcG6qmXFC102r6VdSB79KlS+MwDNKMZG9S0niBcsVT8MmLVkoFkXawNJ+yaaVTW7CoA9/p06fHYxykFSrYpERJpuCTF6lUkBQsHLE7YUzVo7QgG9MYLJCCSLmhDQ4X8jJNMBtMaHV5fLmhail9pWZa6dQWLOrA119rayva2toCrsvKUs90OMWByissEHVFMyXoSLVYmk8dtJp+FfX6YHNzM2bPno28vDxkZGTAarUG/KOekZLIv9tbp85WpirYpETUU1IJuvJBvTE8P4vBASlKNLmhJF9S+lV2mgFVdQ40O93weAU0O92oqnOoNv0q6uji9ttvx6effoonn3wSJpMJzz77LBYuXIiCggKsWLEiHmPUjHVVdbjj7c0AgHvf34o5r2/Cra9vVF85EVZYICJSLJbmUw8tdGoLFnWqw/vvv48VK1bglFNOwTXXXIOTTz4ZJSUlKCoqwssvv4wrr7wyHuNUPSlfytHahlMGA/2tabC3CerNl1LwJiWihElUd0OiKGg1N1SttJZ+FXXgW1dXh0GDBgEQ83ml8mUnnXQSbrzxxtiOTiP886VKeqcBsEGv0yHDpFd3vpSCNykRxV0iuxsSRUGruaFqpokOoD+Leupg0KBB2LNnDwBg+PDheOONNwCIM8E5OTkxHZxWMF+KiAIkurshURS0mhtK6hB14HvNNddg06ZNAIA77rgDy5Ytg9lsxm233YY//vGPMR+gFjBfiii+vF4BldU2rN19VP6bRpPV3ZAoClrMDe2Q1wts3gx88YV4yfemrEWd6nDbbbf5/n/66aejsrIS69atQ0lJCcaMGRPTwWmFf76UyRR6LsJ8KaLui6rIvn9ObXZ2cgaczO6GRFHQWm5oWExJUpyIA1+v14s///nPeO+999DW1obTTjsN8+fPR1FREYqKiuI5RtXzz5fKMpoDbmO+FFH3RVVkP/gDLCsLmDcPWLsWOOmkxA062d0NiaKgpdzQEFJKUl2deKKaliY2YZJSklilSJYiTnVYtGgR7rzzTlgsFvTv3x+PP/44Zs2aFc+xaYZ/vtT++hYAgEdgvhRRTwQX2c8wpUKfokOGKRVFvdLR2OLCiooqMe0hXE6tNON7992Jzan1724YDrsbEiUfU5IUK+LAd8WKFfjb3/6Gjz76CO+++y7ef/99vPzyy/DyoMaElC81vJ945nygvkW7+VJEMRDxptHqxvAfYBkZ4p0bGhL7ASZ1N6yuFrsZ+pO6G44cqfjuhorKuyYKFk1KEslKxKkO+/btw9lnn+37+vTTT4dOp8PBgwcxYMCAuAxOa8YX9UJpvgWrVv2Ee84bCWtmmvbypYhipH3TqCns7WaDHkfsTrRt2tzxBxgA9O2b2Jxaqbvh3LliN8P8/PYl1OpqVXQ3jCrvmkiOmJKkWBH/5XS73TCbA/NPDQYDXC5WGoglKcg9rrgXW5kS9YD/ptFwfJtGW+2df4CZzeLtifwAi6S7oUJ3kkt51z8caESWORUDrOnIMqf68q5V16mS1IkpSYoV8YyvIAi4+uqrYTK1z560trbihhtuQIa0JAjg7bffju0IiYi6IdIi+4WDsts/wCyW0AdqbU3OB1hn3Q2j2Ukuo+5vwXnX0jHJMKWqu1kPqY+UkrRhg5jT679aJKUklZUpPiVJjSIOfKdPnx5y3dSpU2M6GCKiWJE2jS76cBuq6hzItZhgNogzwLV2Z/um0cKcjj/AAHG5ctSo5HyAhetuGM1OcpmVWoqmWY9mKwWQMmggJUmtIg58n3/++XiOg4go5qRNo1I+6RG7E8ZUPUoLsjHNP5803AdYW5t4W06OfD7AgneSS8GjtJN81y5xI94JJwBffy27UkuR5l2zWY98eL2Ctuv0dkZKSZJOLmtqxJPLsjLxbwZLmclS1A0siIiUJKIi++E+wLJ+nnG8/375fIBFupN88+bIA+QEBvT+edcZptCPHzbrkRduQoxAZylJJEsMfIlI9SIqsh/8AZadLW4qKy9PyBgjEulO8vXrZdn9LdK864Q265FRDrScRNX8RevCpSSRbDHwJSKS+H+AuVxi4Csn/jvJw23Ek3aSA7IstRRx3nWiltJllgPdmUSmHHATIqkZA18iIqWIdCd5WVlkAXISSi1FnHcdbwpqN5volANuQiQ1Y+BLRKQUke4kHz1a1qWWIsq7jqdoNgkmOe0hGSkH3IQYAabIKBYDXyIiJYl0J7nMSy1FlHcdL9G0m01i7mayUg64CbELCkqRoVAMfImIlCaSneQstdQxhbSbTVbKgSw3IcqFglJkKDwGvkREShTJTnKWWgov0k2CSW43m6yUA9ltQpQLBaXIUMd4ZIiI1EwKkCdNEi/5gdy+SbC6Wsx59iflQI8cmfR2s/4pB+HEM+VA2oQ4qiAbtlY3fqp3wNbqRmlBtnZLmUWTIkOyxRlfDWNHHiLSJIW0m012ykHSNyHKjUJSZKhzDHw1ih15iEjTFJADLYeUg6RuQpQbhaTIUOcY+GoQO/IQEUEROdCyqXtMkdfRTnKKDHWOga/GsCMPUYyxnqeyKaDdLFMOYqdHKX4KSZGhzjHw1Rh25CGKIdbzpARhykHPxSTFTwEpMtQ5Br4aw448RDHCep5EihHTFD8FpMhQxxj4agw78hDFgFLqeTINgyg+KX4KSJGh8Bj4akyyy+MQqYISWt4yDYMIAFP8KBBP/TVGKo+TnWZAVZ0DzU43PF4BzU43quoc2u3IQ6rg9QqorLZh7e6jqKy2wesVuv6m7oiknqfTmbx6nlIaxvr1QE4OUFwsXkppGBUVyRkXURK0p/jpw95uNujR5vYwxU8jOOOrQSyPQ2qU0NrUcq7nqZQ0DKIEYYpfhDSSGsXAV6NYHofUJOG1qeVcz1MJaRhECcQUvwhoKDVKfaE8RUwqj1M+qDeG52cx6CVFCt64kmFKhT5FhwxTKop6paOxxYUVFVWxTXuQ6nlareIMqt0OeDzi5a5dya3nKfc0DKIEY4pfFzSWGsXAV4ESlsdIpADRbFyJKame57hxQEMDsHeveFlWltxSZv5pGOGwrSppkJTiN6ogG7ZWN36qd8DW6kZpQba2u5UGp0ZZLIBe354aVV8vpkZ5vckeacww1UFhospj1Ei+DvWQwl8nSa1NLcd6nnJOwyBKorim+Cn176gGU6MY+CpIVHmMGsrXoR5Qwesk6RtX5FbPU0NtVXvUfpY0KS4d8JT8dzSS1KiaGlWlRjHwVYioCnB/vYYdpahrKuk8xo0rYWigrWpCq3gQdUTpf0flXKEmTpR/yq8REecxVjdqLl+HukFFeV3cuNKBiROBf/wDWLECeOop8fKll+T9IRwhafXrhwONyDKnYoA1HVnmVN/q17qqumQPkbRADX9HpdSo6moxFcqflBo1cqSqUqMY+CpEpAW42zZtjjxfh7QrmrwuBeDGlQ5IaRiTJomXKklvSHgVD6Jw1PB3VM4VauKEqQ4KEXEeY6tdc/k6MafUTQrRUGFeF2tTawPbz5JsqOXvqAZSo/wx8FWISPMYCwdlay5fJ6aUvEkhGirN64rLxhWSlaRW8SDyp6a/o3KsUBMn6vuJVCriPMbRpZrL14kZLRXx1mBeF6mD/+pXOGw/Swmjtr+jKkyNCkedP5VKRZTHqMF8nZhQwyaFaPB1QgolrX7V2p0QgoINafVrSJ5FW1U8KDn4d1SRmOqgMBHlMaosXychtTo1WMRbba8T0gZp9WvRh9tQVedArsUEs0GcAa61O7VbxYOSg39HFYeBrwJFlMeoknydhNXqVMsmhWip5HVC2iKtfkl/G47YnTCm6lFakI1prONLica/o4rCwFfN5NZRKkpRdarrKTVtUohWFK8TdsoiuWAVD5IVhX/eagkDX5KlqDrVxeKDTtqksGGDmNPrn+4gbVIoK1POJoU4YKcskhtW8SCiaHEenmQpmlqdMcFNCp1ipywiIoqU1yugstqGtbuPorLaJquGMor5FK+rq8OVV16JrKws5OTk4LrrroPdbu/0/jfffDOGDRuGtLQ0DBw4EL///e/R2NiYwFFTd0XaqS6mtTqlTQrjxgENDcDeveJlWZn8+63HETtlERFRpNZV1eHW1zdizuubcNc7mzHn9U249fWNspkgUUyqw5VXXolDhw5h9erVcLlcuOaaazBz5ky88sorYe9/8OBBHDx4EEuWLMHIkSNRVVWFG264AQcPHsRbb72V4NFTtCLuVBfrWp3cpBCCnbKIiCgSXe3NmXfWkGQPURmB77Zt27Bq1Sp8++23OO644wAAf/3rX3H22WdjyZIlKCgoCPme0tJS/POf//R9PXjwYCxatAhTp06F2+1GaqoifnTNirRTXVxqdXKTQgB2yiIioq5Esjfn1bX7MTk9ueNURPS3Zs0a5OTk+IJeADj99NORkpKCtWvX4qKLLorocRobG5GVldVp0Ot0OuF0On1f22w2AIDL5YLLFf8Pduk5on4urxeorBSX5nNygOHDFT9LeVV5fyz5yI5D9c3obTH6anUetbehT3oqppb3h8fjhid8A6ek6vZxlCGLUYcMQwrcbhdMxtD3jtPtRoYhBRajThU/r0RNx1DLeBzVgcdR/nbUNKGqtgkFWQYYdAIAv/Q3HdAv04B9R+zAwPgcx0gfUycEt76RocWLF+PFF1/E9u3bA67Py8vDwoULceONN3b5GEeOHMH48eMxdepULFq0qMP7LViwAAsXLgy5/pVXXkF6epJPU4iIiIgohMPhwBVXXOGb5OxIUmd877jjDjz00EOd3mfbtm09fh6bzYZzzjkHI0eOxIIFCzq977x58zBnzpyA7y0sLMSZZ57Z6S8yVlwuF1avXo0zzjgDBkME+atr1wJ33y3mo+bnA2Yz0NoqNlvIyQHuvx8oL4/7uOPJ6xWws9YOW4sLWWkGlORaZF+rM+rjKHMb99djyUfbYWtxh8y+Z6WlYu6UYTi2UF01jtV2DLUqHsdRiX+TlI7vR/nbUdOEO9/+AZlmPTLCrA42t7nR6nTjqoENcTmO0gp9V5Ia+P7hD3/A1Vdf3el9Bg0ahPz8fBw+fDjgerfbjbq6OuTn53f6/U1NTTjrrLOQmZmJd955p8tftMlkgskUmstoMBgS+maL6Pm8XuBvfxNrzJaUiLVnvV7AaAQGDBDLcD35pLhhKxFpD15v3DaFjRoQwzqxcRxnsES/buLlF4PycPvZqe11fJtcMKbqMbRfjuo7ZanlGGpdrI4j61knF9+P8jWiwIqi3ExsOdiIol6GkL05h5pcGFuQCaAhLscx0sdLauCbm5uL3NzcLu83YcIENDQ0YN26dRg/fjwA4NNPP4XX60V5J7OZNpsNU6ZMgclkwnvvvQez2RyzscvCli1ib/B+/QIbLgDi1/n5wNat4v3ivVmroqK9V7nTKXY5GzFCrI0rpzJgShmnDLFTFmldQrtJEilMSooO0ycWYdGH21BV50CuxeRbHay1O5GdZsDl5YU4uPmn5I4zqc8eoREjRuCss87CjBkz8M033+Crr77C7Nmzcdlll/kqOhw4cADDhw/HN998A0AMes8880w0Nzfj73//O2w2G6qrq1FdXQ2PHHdDdUd9vRi8paWFvz0tTby9vj6+46ioAObOBdavF9MriouBnBwI6zfA8ftbseXNf8ujgHUH48SGDeL1FRXJHZ8CSJ2yygf1xvD8LAa9pBmsZ03UtfFFvXDXOSMwqiAbtlY3fqp3wNbqRmlBNu46Z4QsUuIUUdUBAF5++WXMnj0bp512GlJSUnDxxRfjL3/5i+92l8uF7du3w+FwAADWr1+PtWvXAgBKSkoCHmvPnj0oLi5O2NjjxmoVZyxbWgCLJfT2lhbxdmscX2herziDWlfXnm4BoEFvwk9pfZC1fx8OPfAIHvspHYPzs5K3HNjBOGGxiC2Kd+0Cli0Ta/gqvBoGEcUe61kTRcDrxXjbAYzrZ0NVvhGHC4cj22LyrQ7KoSqHYgLfXr16ddisAgCKi4vhX6DilFNOgQIKVvTMqFHiMv2GDWLw5v/HWBDE3N+yMvF+8RIm3aKhxYUfa5rg9ghAdm8MObIfI+v3Y713QPKWA+WUFkJEisN61kRd8EslTHE6cYzJhGOkVMJ8+aQScmpLyVJSxBeU1SrOWNrtgMcjXu7aJV4/a1Z8ZzCD0i0EAfipzgG3R0CaUQ+P2QyDuw19XM3JXQ6US1oIESmSfzfJcOLWTZJICRSUSsjAV+kmTgSWLAHGjRObV+zdK16WlYnXx3vDln+6BcRyJc1tHhhTxZeWsc0Jt8GI5vSskOXAhAoaZ4hEpIUQkWJJ3SRr7c6Q1USpm+SQPEt8ukkS9ZDXK6Cy2oa1u4+i8mADvJu+B774Ati8WUwF7NmDB6YSWiyAXt+eSlhfL6YS9vR5YkQxqQ7UiYkTxdzUBJXoChCUbuHyeOH1CtCnpgCCgGzbUewrGo6D/QcBSOJyoBzSQohIsSLZsT5tYhE3fJLs+JfgK9m5CRdVvAvL0f3obQDSLOk9r2wUTSrh8OE9/4F6iDO+apGSIuamTpokXiZqg1ZQuoWx1QE9vEh1NCOv9ic40rPw6amXQPh5PElbDpRDWggRKVpXO9ZZyiwKXq842xirWUcKSyrB98OBRhx3YBtuXvk0hh74EbX6dGwx9oLNbOl5OoLCUgk540s9J6VbPPEE0rduw8DGRjRBj6qBw/Df036LXUPGAGhfDiwtyE7OcqDfOLFtm9jdzmQSZ3pnzWIdXyLqEutZxwDrqSeEfwm+Y6xmnP3WP5HhaMLhvoXQ6XRwtXmwz6nDqEGDodvdg8pGcqgwFQUGvhQbP6db6LZsQeO2Kjy5qQ4/5AxAn6w0mL2CfJYDk5kWQkSqINWzpm6QNkHV1YlL42lpYmAkzTomYm9KvCSwK2gk/Evw9T+4BwWH9qIxu7cvHcGYmoLmNg+aXR5YelLZKJpUQhn0UWDgS7Hzc7rFsNGjcVV5e07REbsTxlQ9Sguy5dHeVkoLISKixFFzPfUYz2J7vUKPVxX8S/BlOGxIdbWhLbu9g60+RYc2txcuj1c8Aamp6V46gpRKOHeueAzz89tPaKqrA1MJGfiSWnE5kIiIAqi1nnqMZ7H9N6O1ucV9MSV5lqgbQPmX4GtOz4LbYISxrRVOczoAwOMVkJKig0Gf0vN0BAWlEjLwpbjhciAREflEsgmqu7OOyRLjWWxpM1qDw4W8TBPMBhNaXR5sOdgYdQMoqQTfloONyCg4Bgf7FWPgvu04bEoDdOJsb6Y5FRkGPbA/BpWNFJJKKK/RkHJxh2588PdKRGqhxnrq0cxid8F/M1px73RkmFKhT9Ehw5TarQZQUgm+7DQD9ja0YuWki9Gclok+h3+C0GSHQefFQJNX3NgWq8pGyaowFQXO+FLPcYdufPD3SkRqMmoUhOEj0PbdOjgKi2BI1SPDmCrGi0qtpx7DWWz/zWi6oCA6uAFUpKupUgm+Fyuq8F3qCDScfT0uqngXQ47uR+82B9Ja02WZjhBPDHypZ9S8QzeZ+HslIpVZt78BXww/E1O+/h4ZP2xHQ3YvpGakozBNh6yGo8qspx7DUl7+m9HC6W4DqMA9NyORPW8qCmr3IaWxQbbpCPHEwJe6T807dJOJv1ciUhlf7mpGMeov+T1+9fk/kX9wD1JsdThiNME1fgx63z5HeSf0MewK6r8ZLcMUGp71pAFUyJ6bgpyoH0MtGPhS96l1h26y8fdKRCoSnLt6oM84/H34WBQc2I30Zht2ug2wjBuLR08oU97Go2hKeXXBfzNaulEfkO6Q9AZQKqK41xjJiMLaFCoGf69EpCLhcleFlBQcKCzBj8PLYB8yAjuOOLDjcFOSR9pNUimvceOAhgZg717xsqwsqrQ0/81oVXUONDvd8HgFNDvdqKpzJL8BlEpwxpe6T2FtChWDv1ciUpF45a7KSoxKeflvRpNlAygVYOCrBfFqoxjD3Cbyw98rxUEsOkERdUc8c1dlJUZdQdkAKr4Y+KpdPEtixTC3ifzw90oxFqtOUETdwdzV6LEBVPzwk1PNpJJY69cDOTlAcbF4KZXEqqjo+XPEKLeJgvD3qhher4DKahvW7j6KympbxMXlE0XaTf/DgUZkmVMxwJqOLHOqrxPUuqq6ZA+RVI65qyQnnPFVq0SWxFJIm0LF4e9V9uQ+kxq8m16aacswpSLdqEdVnQMrKqowrtDKoIPiirmrJBcMfNUq0SWxYpTbREH4e5UtX11Shwt5mSaYDSa0ujy+mdS7zhmR9A/zeHSCIuou5q6SHDDwVasYtlEkokBKmUnVxG56UhTmrlKycc1UrfxLYoXDklhE3eP1ourzr2Fe8yXG235CihCY0xs8k5pM/rvpw1HNbnoioghxxletWBKLKPZ+rpKSt3EzZh21ASYzDhUU49PTfotdQ8b47iaXmVTupiciCsQZX7WSSmJZreJGNrsd8HjEy127WBKLKFr+VVKsOajpXYCmtAwM3Lcdv319KQb/+L3vrnKZSeVueiKiQIx61IwlsYhiI6hKSro1B+lmA5r0ZhzOHYB0RxNO/fRN6Lxe30zqkDyLLGZSpd30owqyYWt146d6B2ytbpQWZMtiAx4RUSIx1UHtWBKLqOeCqqToAAzolY4fa5rQ4vKiztIL/Q7sgXXvj1ifPUB2M6la3E0vdaqrb2rxfU1ExMBXC1gSi6hnwlRJyUkzYEjfTPxU54Cj1YhM51HoGupROmKULOuSamk3vX99ZcHjxg2DgTve3oypE4+J6LiwvTORejHwJSLqin+VFIvFd3VOmgHZBdlw1DcAyMKNFx2HosnHMkhKouD6yhajAYANlYdsEdVXjltTEq+XK29EMsB3HRFRV6QqKdXVYlUUPzoIyKg7goxxY3DM5HIGvUkUXF85w5QK/c+VLAqtaWhscWFFRVWHaQ9xa+9cUQFMnQpMmwbccIN4OXVqbNrGE1FUGPgSkax5vQIqq21Yu/soKqttycnVZJUURYimU12wsEFzig4ZplQU9UrvMmjukH81kJwcoLhYvNywQbyewS9RQjHVgYhkK27Lzt0hVUl54glxo1tNjZj+UFYmBr2skpJ0PelUF5f2zkHVQHz11C0Wsb76rl3AsmXiBmSeNBElBANfIpKl4FxNs8GEVpfHt+yclFJcrJIia/6d6jJMoR9vndVXjkt756BqIAF0OiA/H9i6VbwfNyATJQQDXyKSneBlZ2kGLsOUinSjHlV1DqyoqMK4Qmvic2pZJUW2etKpridBc4fCVAMJkJYmrhzU10f+mETUI5ymICLZ6UmuJmlX2E51P29G3F/f0ml9ZSlorrU7IQRtYOx2UxL/aiDhtLSIt1utkT8mEfUIA1+58XrFy4oKYPPm9q+JNKR92Vkf9nazQY82tye6ZWfShOBOdQfqxaBzRL+sTtNj4tLeuZNqIBAE8fqRI8X7EVFCMNVBTioqgKeeAi6+GLj1VvG6ESPE3eQa3DjDIvLaFZdlZ9IM/0519U0tOLz1azzw69EwmYxdft9d54zwbag8YnfCmKpHaUF295qSSNVA5s4VN7Ll54vpDS0tYtDLaiBECcfAVy6kkjfNzWLgO3AgYLO1l7xZskRTwa+sdvNTwvUkV5MIaO9U5+qdhpVbEfFJc8zbO7MaCJGsMPCVA/+SNyNGiNfp9ZoteSPL3fyUUNKy86IPt6GqzoFciwlmgzgDXGt3dm/ZmShCMW/vzGogRLLBwFcOWPLGR9a7+SmhYr7sHAn/trLZ2bF/fNIuVgMhkgUGvnLAkjc+cSkiT4oV82XnzlRUtC9HO51AVhYwbx6wdi1w0kmxfz4iIko4Br5y4F/yxmwOvV1DJW/iUkSeFC3my87hSDn2dXXiyktamtiSGADuvhtYvJi5mEREKsAEIzlIQskbr1dAZbUNa3cfRWW1Lfr+83Hiv5s/HO7mp5gLbitrsYg59hkZ4u0NDWKOPUsLEhEpHmd85cC/5M2ePeJ1Hg9gt8el5I2cKyZwNz8lXGc59gDQt69mcuyJiNSOM75yIZW8GTNG/HrfPnGmqawspqXMpIoJPxxoRJY5FQOs6cgyp/oqJqyrqovJ83RXXIrIkyrFbNWiqxx7s1m8XQM59kREascZXzmZOBEYPx5YtQpYuhTo1SumJW+UUjEhKbv5SVFiumrhn2NvsYTe3tqqmRx7IiK1Y+ArN1KQO3EiYIhtHquSKiYkdDc/KUrM6zxLOfYbNoh1s4PTHWpqxPuwrSx1xb8cHmv1EskSA18NUVrFhITs5idFicuqRUdtZdvaxNtzcthWlroWXA7PZNJ0y3kiueJfcg1hxQRSumhWLaIi5diPGyfm1u/dCzQ2irfdfz8DF+qcVA5v/XrxRKm4WLyUWs5XVCR5gEQk4YyvhrBiAildXFctgtvKZmeLAXB5ec8GTeoWXA5P+ruq0ZbzRHLHd6GGsGICKV3cVy2ktrKTJom1s4m6Ek3LeSJKOga+GiNVTBhVkA1bqxs/1Ttga3WjtCA7+k1BRAkmrVrU2p0Qgpq9SKsWQ/IsXLWgTsW0gU8kLedZDo9INpjqoEGsmEBKJa1aLPpwG6rqHMi1mGA2iDPAtXYnVy2oSzFv4NNVOTwNtZwnUgLO+GqUVDGhfFBvDM/PUmSgINe2yxRfXLWg7opLA58ktJwnou7jjC8pkpzbLlP8cdWCohW3Bj4dlcNraYlLy3ki6hm+E0lx5N52mRJDDasWlDg7a+3xKYUHhC+HF4eW80TUc5zxpah4vUJSZ9mU0naZgrCjFSWZrSXODXyCy+HxdU4kSwx8KWJySC9QUttl+tmXXwKLFwM//gh4PEBWlpjzyI5WlEBZae2l8DJMoR99MWngI5XDiwRPBomSgoEvRURKL2hwuJCXaYLZYEKry+NLL0jUpiKltV3WvKefBu66C7DbAb1e/Nfc3L4czGVgSpCSXIt8GviwvTFR0vD0kroUnF6QYUqFPkWHDFMqinqlo7HFhRUVVQmpqsC2ywry5Zdi0NvUBGRkiP+MRjHwbWwEDh4UO1p5vckeKWmAbBr4sL0xUVIx8KUuRZNeEG9sYKAQXq+Y3mC3i7VNU1PFLlZ6vRgAu1yAwyEu9bKjFSVI0kvhBbc3tljE94TU3ri+nieD3cTylhQppjpQl+SUXsAGBgqxZYuY0yulNwQzm4HWVsBmY0crSqiklsKLpr1xpLnCJIv9J6QcnPGlLsktvSDpszbUtfp6cSObXi9eBktJab+dHa0owZJWCo/tjWOO5S0pWpzxpS5J6QWy2BTyMzYwkDmrVaze0Nws/tPrA2e4PB7x39Ch7GhF2sH2xjHF8pbUHZzxpS7JZlNImHGxgYFMjRolliwzmwGDQczndbvFFq5ut5j7m5kJzJvHEk6kHWxvHFNy2n9CysFPHIoI0wsoKlIb1/79xZlfaUObNAOcmQncfz9w0knJHilR4kjvC6tVbG9st4srH3a7+DXbG0elff9JmH0EEPeftLk9LG9JAZjqQBFjegFFRWrj+sQT4oYdm01MeRg6VJzpZdBLWuT/vti2DaipEdMbysrEoJd1fCPmv/8kbk1JSHUY+FJUpPQCooiwjStRKL4vYkKO+0+SyesVODEVAQa+RBRf0bRxJdIKvi96jOUt27GkW+R4eklERESKxP0nLOkWLc74EhERkWJpef8JS7pFj4EvERERKZpW959EU9JNi7+fcBj4EhFRTHGTDVFitJd0M4W93WzQ44jdyZJufhST41tXV4crr7wSWVlZyMnJwXXXXQe73R7R9wqCgF/96lfQ6XR499134ztQIiINW1dVh1tf34g5r2/CXe9sxpzXN+HW1zcyzzBWvF5g82bgiy/ES6832SOiJPIv6RYOS7qFUsyM75VXXolDhw5h9erVcLlcuOaaazBz5ky88sorXX7v0qVLQ5YASFs4A0UUf9ImmwaHC3mZJpgNJrS6PL5NNlrZbBQ3FRXt9X+dTrH+74gRYlMM1v/VJJZ0i54iAt9t27Zh1apV+Pbbb3HccccBAP7617/i7LPPxpIlS1BQUNDh927cuBGPPPIIvvvuO/Tr1y9RQ+4er1cs9A+Il6NHs65jDLDMSye8XtYSpZjgJps4q6gA5s4F6uqAfv2AtDSgpQXYsEG8fskSBr8axJJu0VNE4LtmzRrk5OT4gl4AOP3005GSkoK1a9fioosuCvt9DocDV1xxBZYtW4b8/PyInsvpdMLpdPq+ttlsAACXywWXK445MmvXAsuXw7V3L/CHP8B1881AcTEwcyZQXh6/55UbrxeorAQaGoCcHGD48B4FYhv312PJR9vR2OJGH4sRZoMBrS4PfjzUgIdX2jF3yjAcW2iN2fAl0mslrq+Znvr5NYcdO9pnj4YO1d5rrgPdPoYxfg0rxY6aJlTVNqEgywCDTgAgtN+oA/plGrC3tgnbDtZjaN/EzT4p4r3YFa8XeOopsd33iBGANKtnNouvsT17gKefBsaPV+1rTY7H0esVsLPWDluLC1lpBpTkWpISYI4pyMS8s4bglbX7sbu2GY3NrTCm6jG2IBOXlxdiTEGmbH5v8TyOkT6mThAEoeu7JdfixYvx4osvYvv27QHX5+XlYeHChbjxxhvDft/1118Pj8eDZ599FoC4w/Gdd97BhRde2OFzLViwAAsXLgy5/pVXXkF6enr3fwgiIiIiigtpsrOxsRFZWR1XsEjqjO8dd9yBhx56qNP7bNu2rVuP/d577+HTTz/Fhg0bovq+efPmYc6cOb6vbTYbCgsLceaZZ3b6i+w2rxeYMQPYtAkYNAguoxGrr7gCZ7zyCgxtbeKZ/Nix4sycSs/kAYizj3ffLS655+eLMxmtrWIf+5wc4P77o56F3FHThDvf/gGZZj0yjKEv9eY2N5paPVj869KYz0C5XC6sXr0aZ5xxBgwGmW0qCHrNwT//XRC085rrQtTHMA6vYSVJ5vutM7J+L0aqogK49VZg4EBArw+93eMB9u0Dli5VbbpDxMcxAStZoSuJYmrBUXsbstJS47aSqAbxfD9KK/RdSWrg+4c//AFXX311p/cZNGgQ8vPzcfjw4YDr3W436urqOkxh+PTTT7Fr1y7k5OQEXH/xxRfj5JNPxmeffRb2+0wmE0ym0LIgBoMhPn80N28W//XqBbjdviDE4HLB4HaLeZfffy++idXa3tLrBf72N6C6GigpEX8HXi9gNAIDBgC7dgFPPin+QY8iELO3CWh2eWG1mOFG6PJTaqoBzS4X7G1C3D4Q4/a66Yng11wwLbzmohDRMYzTa1hJRhRYUZSbiS0HG1HUyxCyyeZQkwulBdkYUZCcHF9Zvhcj1evnvQg2G2CxhN4uVTjq1QtQ6s8YoU6PY0UFcPvt7XnQvXqJedDffgvs3BmTPGivV8BLaw+gttmD4t4Z0Ol0EACYjHr0sxpQVefAP9YewPjiXObVdiIe78dIHy+pgW9ubi5yc3O7vN+ECRPQ0NCAdevWYfz48QDEwNbr9aK8gzO4O+64A7/73e8Crhs9ejQee+wxnHfeeT0ffKzU14tnpWlp4W9PSxNnjOrrEzuuRNqyRdyl3K9f4OwjIH6dny9u9tuyJapAzL/MS4Yp9KWu2TIvfM3FXpxew0rCTTZxNGqUmNu7YQMweHDoKk11NVBWJt5Pq7xeseJFXV37yScgnigMHiyefC5bBpxwQo9OPtkwQvkUMfUwYsQInHXWWZgxYwa++eYbfPXVV5g9ezYuu+wyX0WHAwcOYPjw4fjmm28AAPn5+SgtLQ34BwADBw7EMccck7SfJYTVKi7FtLSEv72lRbzdquJlk0gCMacz6kBMKvNSa3ciOJVdKvMyJM+ivTIvfM3FXpxew0ozvqgX7jpnBEYVZMPW6sZP9Q7YWt0oLchmKbOeSEkRS5ZZrWIAZ7eL6Q12u/i11QrMmqXa1YSIRHPy2QPtDSPCpJxAbBjR5vawYYSMKaKqAwC8/PLLmD17Nk477TSkpKTg4osvxl/+8hff7S6XC9u3b4fD4UjiKLsh+Ezen1bO5P0DsXDLeN0MxDgD1QHOHsVenF7DSjS+qBfGFVpZNzvWJk4Ul+qlOr41NeJrqqxMDHpVmtsbsQStZHElUfkUE/j26tWr02YVxcXFIbN6wWRZwEI6k587VzxzHzhQvL65WdysoIUz+TgGYtIMlFTH94jdCWOqHqUF2Zim1Tq+wa+5/Pz2mqDV1dp4zcUaTyYCpKTouMwbDxMnikv1rL0dKkEnn2wYoXyKCXxVzf9Mfvdu8brGRu2cycc5EOMMVBicPYotnkxQoqSkqDZPvEcSdPLJlcR2Su2IysBXLqQz+c2bgb17xWLkWurcFudAjDNQYXD2KLZ4MkGUPAk8+eRKorI7ojLwlZOUFGDkSDHwHTlSewEIA7HEi2T2SOVtjWM6a8HXMFHyJPDkU8srieuq6rDow21ocLiQl2mC2WBCq8uDLQcbsejDbbLfyMrAl+SFy3jyUlHR/iEiFYMfMUKcWVHBDGZnsxZjCrqZo8fXMFHyJPDkU4sriV6vgBcrqtDgcKG4d7ovxznDlIp0ox5VdQ6sqKjCuMLk1OuOBKchiCi8igpx2XD9erHzWHGxeLlhg3h9RUWSB9gz0qzFDwcakWVOxQBrOrLMqb5Zi4371V16TBO8XrGEFSBeer3JHQ8lhnTyOWmStlIGEyCaOsZyxVcDEYUKLgZvsYitUqVi8PX1YjF4hQYSwbMWGaZU6FN0yDCloqhXOhpbXHh17f5kD5N6oqICmDoVuP568evrrxe/VvgJG1EyqaGOMQNfIgqVoGLwyRLJrMWu2uYkjY465PWKG4C/+EK87OjEy3+1IjtbvC47WzWrFUTJ4l/HOBwl1DFmji8RhVJ5W+P2WQtT2NvNBj0am1sTPCrqVKT55sGrFUajeH1GRkxb1xJpkRrqGPNdT0ShVN7WONJZC5KJaPLNVb5aEXORzqITob2OcXaaAVV1DjQ73fB4BTQ73aiqcyiijjEDXyKF8HoFVFbbsHb3UVRW2+D1xrEToVQMvrpaLP7uTyoGP3KkYjuRSbMWtXZnSEdHadZicG5GkkZHAaLNN49ktcLpVOxqRUxJedDTpgE33CBeMg+auiDVMR5VkA1bqxs/1Ttga3WjtCBb9qXMAKY6EClCwouFq7wTWSTdly4vL8TBzT8le6gUzQzu6NEJa12reNIsel2d+LuV3t/SLPqSJaooWUjxoeQ6xsr81CLSkK7Kbq2rqovPE0vF4MeNAxoaxMYqDQ1iMXgVfCh2NWtxbKHGAyO5iHYGV+WrFTGh8qotlBhSHePyQb0xPD9LEUEvwBlfIllLerFwlXci62zWwuWSbzkeTYl2Bjd4tWLgQPH65mZg3z7Fr1bERLSz6EQqwsCXSMaiKRYetw5CKu9EpsXuS4oizeBu2CDORvq/D6QZ3LKywBlc/9a1u3eL1zU2xqV1rSKFmUUXBKC5zQ2XxwtDigEZTid0zIMmFWLgSxQDXq8QMGt4jNUck8eNpOzWEbtT1sXCiXqku/nm0mrF5s1ims7TT7OLlyRoFr2hxYWf6hxobvPA6xWQ7mpBb5cHjS0p0HBCCKkUA1+iHgq38WxYXjpOSe/5Y/uX3cowhb5dlVAsnKjH/Gdwt20Ta0ibTF3P4KakiPm8e/eKlwx6RX6z6A0FA/HjYTvcHgHG1BTo9Tr0rq9HZb8SPPmjgDuH18l+lz5RNBj4EvWAtPGsweFCXqYJZoMJrS4PKg/ZcMpgYOP+evxiUF63H18NxcKJYkLl+eYJ9fMsuvCHP6C1cgdSzTkwZqTB2NaCbNtRODKysPZXl6HB6YnvHgKiJOBfDKJuCt54lmFKhT5FhwxTKgqtYu7cq2v396jerhqKhRPFjJRvPmkS0xZ6auJE7LvzXmzLH4yctmbkHjmEjBY79hUNxxuX3oLdQ8YG7CEgUgvO+BJ1U1cbzwBgV21zjzeeSWW3pHSKI3YnjKl6lBZkY1q86vgSkepVjyrD4svuRHlLNTJbmtCcnoWD/QdB+PmEgnsIKFLB+1zkXNOXgS9RN3W18QwA2tyemHxoKLlYOBHJU3a6AQajATuzjuEeAuq2hDdY6iGuExF1k//Gs47E8kNDqcXCiUieImndPSTPwj0E1KGkNVjqAQa+RN3U1YcGAAzOzeCHBhHJEvcQUE90ts+lqFc6GltcWFFR1aN9LvHAwJeomzr70Nhf3wIAuLy8kB8aRCRbXbXuluNSNclDNA2W5IQ5vkQ90NHGsxH9sgDYcGyhNdlDJCLqFPcQUHcotcESA1+iHgr3oXGM1YxVq35K9tCIiCLC1t0ULaU2WGLgSxQDwR8aLpe8znCJiIhiSakNlpjjS0REnfJ6BVRW27B291FUVttkt1mFiBJPqZsjOeNLREQdUlqNTqKY83rZKrsDSmywxMCXiIjCkmp0NjhcyMs0wWwwodXl8dXo5K5/UryugtqKCuCJJ4Bt2wCnEzCZgBEjgNmzgYkTkzduGVHa5kgGvkREFCK4RqeUv5dhSkW6UY+qOgdWVFRhXKFVth9wpAxJa3fbVVBbUQHMnQvU1QH9+gFpaUBLC7Bhg3j9kiUMfn+mpM2RDHyJiOQsScus0dToVMoHHslP0lJpugpqH34Y+NvfxNtLSgDpPWCxAIMHA7t2AcuWASecwLQHhWHgS0QkV0lcZlVqjU5SjqSl0ni94vuqs6D2gQeAAwfEoDjoxA86HZCfD2zdKp6Ujh4d+zFS3PA0hYhIjqQZqfXrgZwcoLhYvJRmpCoq4vr0/jU6w5FrjU5ShqS2u92yRTyZ7Cyo3bEDsNnEmeBw0tLEk9H6+tiPj+KKgS8RkdwEz0hZLIBe3z4jVV8vLrN6vXEbglSjs9buhCAEBh9Sjc4heRbZ1egkZUhqu9v6ejFo7Syo9XjE91xLS/j7tLSIKzBWdudUGga+RERyE8mMlLTMGidKrdFJytCeSqMPe7vZoEeb2xOfVBqrVQxaOwtqs7KAIUOA6mog6MQPgiBeP3KkmHNPisLAl4hIbiKZkUrAMqtUo3NUQTZsrW78VO+ArdWN0oJsljKjHklqKs2oUWKufGdB7ahRwJ13ikHyrl2A3S7OAtvt4tdWKzBrFje2KRA3txERyY3/jJTFEnp7ApdZlVajk5Qhqe1uU1LEDaJz54pBbH5+e1WH6ur2oHbiRLFkmbTBtKZGfN+VlbXfTorDwJeISG6kGakNG8ScXv90B2lGqqwsYcusSqrRScogpdIs+nAbquocyLWYYDaIM8C1dmf8U2kiDWonThRLlrFzm2ow8CUikptIZ6T44UsKlvR2t5EGtSkpLFmmIgx8iYjkiMuspAFJT6VhUKs5DHyJiOSKy6ykAUyloURi4EtEJGeckSIiihlOGxARERGRJjDwJSIiIiJNYOBLRERERJrAwJeIiIiINIGBLxERERFpAgNfIiIiItIEBr5EREREpAkMfImIiIhIExj4EhEREZEmMPAlIiIiIk1g4EtEREREmsDAl4iIiIg0gYEvEREREWlCarIHIHeCIAAAbDZbQp7P5XLB4XDAZrPBYDAk5Dkp9ngclY/HUB14HNWBx1Ed4nkcpThNits6wsC3C01NTQCAwsLCJI+EiIiIiDrT1NSE7OzsDm/XCV2Fxhrn9Xpx8OBBZGZmQqfTxf35bDYbCgsLsX//fmRlZcX9+Sg+eByVj8dQHXgc1YHHUR3ieRwFQUBTUxMKCgqQktJxJi9nfLuQkpKCAQMGJPx5s7Ky+OZWAR5H5eMxVAceR3XgcVSHeB3HzmZ6JdzcRkRERESawMCXiIiIiDSBga/MmEwmzJ8/HyaTKdlDoR7gcVQ+HkN14HFUBx5HdZDDceTmNiIiIiLSBM74EhEREZEmMPAlIiIiIk1g4EtEREREmsDAl4iIiIg0gYFvEixbtgzFxcUwm80oLy/HN9980+n933zzTQwfPhxmsxmjR4/GypUrEzRS6kw0x/GZZ57BySefDKvVCqvVitNPP73L407xF+17UfLaa69Bp9PhwgsvjO8AKSLRHseGhgbMmjUL/fr1g8lkwtChQ/l3VQaiPY5Lly7FsGHDkJaWhsLCQtx2221obW1N0GgpnC+++ALnnXceCgoKoNPp8O6773b5PZ999hnKyspgMplQUlKCF154Ib6DFCihXnvtNcFoNArPPfecsGXLFmHGjBlCTk6OUFNTE/b+X331laDX64WHH35Y2Lp1q3D33XcLBoNB2Lx5c4JHTv6iPY5XXHGFsGzZMmHDhg3Ctm3bhKuvvlrIzs4WfvrppwSPnCTRHkPJnj17hP79+wsnn3yycMEFFyRmsNShaI+j0+kUjjvuOOHss88WvvzyS2HPnj3CZ599JmzcuDHBIyd/0R7Hl19+WTCZTMLLL78s7NmzR/joo4+Efv36CbfddluCR07+Vq5cKdx1113C22+/LQAQ3nnnnU7vv3v3biE9PV2YM2eOsHXrVuGvf/2roNfrhVWrVsVtjAx8E+z4448XZs2a5fva4/EIBQUFwgMPPBD2/r/97W+Fc845J+C68vJy4frrr4/rOKlz0R7HYG63W8jMzBRefPHFeA2RutCdY+h2u4WJEycKzz77rDB9+nQGvjIQ7XF88sknhUGDBgltbW2JGiJFINrjOGvWLOHUU08NuG7OnDnCiSeeGNdxUuQiCXxvv/12YdSoUQHXXXrppcKUKVPiNi6mOiRQW1sb1q1bh9NPP913XUpKCk4//XSsWbMm7PesWbMm4P4AMGXKlA7vT/HXneMYzOFwwOVyoVevXvEaJnWiu8fw3nvvRV5eHq677rpEDJO60J3j+N5772HChAmYNWsW+vbti9LSUixevBgejydRw6Yg3TmOEydOxLp163zpELt378bKlStx9tlnJ2TMFBvJiHFS4/bIFOLIkSPweDzo27dvwPV9+/ZFZWVl2O+prq4Oe//q6uq4jZM6153jGOz//u//UFBQEPKGp8TozjH88ssv8fe//x0bN25MwAgpEt05jrt378ann36KK6+8EitXrsTOnTtx0003weVyYf78+YkYNgXpznG84oorcOTIEZx00kkQBAFutxs33HAD7rzzzkQMmWKkoxjHZrOhpaUFaWlpMX9OzvgSJdiDDz6I1157De+88w7MZnOyh0MRaGpqwlVXXYVnnnkGffr0SfZwqAe8Xi/y8vKwfPlyjB8/HpdeeinuuusuPPXUU8keGkXhs88+w+LFi/G3v/0N69evx9tvv40PP/wQ9913X7KHRjLHGd8E6tOnD/R6PWpqagKur6mpQX5+ftjvyc/Pj+r+FH/dOY6SJUuW4MEHH8THH3+MMWPGxHOY1Iloj+GuXbuwd+9enHfeeb7rvF4vACA1NRXbt2/H4MGD4ztoCtGd92K/fv1gMBig1+t9140YMQLV1dVoa2uD0WiM65gpVHeO45/+9CdcddVV+N3vfgcAGD16NJqbmzFz5kzcddddSEnhvJ4SdBTjZGVlxWW2F+CMb0IZjUaMHz8en3zyie86r9eLTz75BBMmTAj7PRMmTAi4PwCsXr26w/tT/HXnOALAww8/jPvuuw+rVq3Ccccdl4ihUgeiPYbDhw/H5s2bsXHjRt+/888/H7/85S+xceNGFBYWJnL49LPuvBdPPPFE7Ny503fiAgA7duxAv379GPQmSXeOo8PhCAlupZMZcV8VKUFSYpy4bZujsF577TXBZDIJL7zwgrB161Zh5syZQk5OjlBdXS0IgiBcddVVwh133OG7/1dffSWkpqYKS5YsEbZt2ybMnz+f5cxkINrj+OCDDwpGo1F46623hEOHDvn+NTU1JetH0Lxoj2EwVnWQh2iP4759+4TMzExh9uzZwvbt24UPPvhAyMvLE+6///5k/QgkRH8c58+fL2RmZgqvvvqqsHv3buE///mPMHjwYOG3v/1tsn4EEgShqalJ2LBhg7BhwwYBgPDoo48KGzZsEKqqqgRBEIQ77rhDuOqqq3z3l8qZ/fGPfxS2bdsmLFu2jOXM1Oivf/2rMHDgQMFoNArHH3+88PXXX/tumzx5sjB9+vSA+7/xxhvC0KFDBaPRKIwaNUr48MMPEzxiCiea41hUVCQACPk3f/78xA+cfKJ9L/pj4Csf0R7HiooKoby8XDCZTMKgQYOERYsWCW63O8GjpmDRHEeXyyUsWLBAGDx4sGA2m4XCwkLhpptuEurr6xM/cPL573//G/azTjp206dPFyZPnhzyPccee6xgNBqFQYMGCc8//3xcx6gTBK4JEBEREZH6MceXiIiIiDSBgS8RERERaQIDXyIiIiLSBAa+RERERKQJDHyJiIiISBMY+BIRERGRJjDwJSIiIiJNYOBLRERERJrAwJeIiIiINIGBLxFRDF199dXQ6XTQ6XQwGo0oKSnBvffeC7fbneyhdZtOp8O7776b7GEQEfVYarIHQESkNmeddRaef/55OJ1OrFy5ErNmzYLBYMC8efOifiyPxwOdToeUFOXPU7hcLhgMhmQPg4g0TPl/SYmIZMZkMiE/Px9FRUW48cYbcfrpp+O9994DADz66KMYPXo0MjIyUFhYiJtuugl2u933vS+88AJycnLw3nvvYeTIkTCZTNi3bx++/fZbnHHGGejTpw+ys7MxefJkrF+/PuB5dTodnn76aZx77rlIT0/HiBEjsGbNGuzcuROnnHIKMjIyMHHiROzatSvg+/71r3+hrKwMZrMZgwYNwsKFC30z1MXFxQCAiy66CDqdzvd1V98njefJJ5/E+eefj4yMDCxatCjs7+ull17Ccccdh8zMTOTn5+OKK67A4cOHu/37JyLqCANfIqI4S0tLQ1tbGwAgJSUFf/nLX7Blyxa8+OKL+PTTT3H77bcH3N/hcOChhx7Cs88+iy1btiAvLw9NTU2YPn06vvzyS3z99dcYMmQIzj77bDQ1NQV873333Ydp06Zh48aNGD58OK644gpcf/31mDdvHr777jsIgoDZs2f77v+///0P06ZNwy233IKtW7fi6aefxgsvvOALUr/99lsAwPPPP49Dhw75vu7q+yQLFizARRddhM2bN+Paa68N+/txuVy47777sGnTJrz77rvYu3cvrr766u7/womIOiIQEVHMTJ8+XbjgggsEQRAEr9crrF69WjCZTMLcuXPD3v/NN98Uevfu7fv6+eefFwAIGzdu7PR5PB6PkJmZKbz//vu+6wAId999t+/rNWvWCACEv//9777rXn31VcFsNvu+Pu2004TFixcHPPZLL70k9OvXL+Bx33nnnYD7RPp9t956a6c/RzjffvutAEBoamqK+nuJiDrDHF8iohj74IMPYLFY4HK54PV6ccUVV2DBggUAgI8//hgPPPAAKisrYbPZ4Ha70draCofDgfT0dACA0WjEmDFjAh6zpqYGd999Nz777DMcPnwYHo8HDocD+/btC7if//f17dsXADB69OiA61pbW2Gz2ZCVlYVNmzbhq6++Cpip9Xg8IWMKFun3HXfccV3+vtatW4cFCxZg06ZNqK+vh9frBQDs27cPI0eO7PL7iYgixcCXiCjGfvnLX+LJJ5+E0WhEQUEBUlPFP7V79+7FueeeixtvvBGLFi1Cr1698OWXX+K6665DW1ubL1hMS0uDTqcLeMzp06fj6NGjePzxx1FUVASTyYQJEyb4Uigk/pvHpMcId50UXNrtdixcuBC//vWvQ36O/2/njl0Th8Mwjj8n2CpODnFLuuhSCmKgUPAPCBS7uXZ36ubqomAEo4NQuhS6ZLFrp5aO2ewgZNC1XVsKBSex3nCcSxVy5K435PsZQ96X990efsObyWR27hi1LpfL7ewhSYvFQo7jyHEc+b4vwzD0/Pwsx3G+7AYAcRF8AeAvy+VyKhaLX74/PT3p8/NTnudtrjSMx+NIPYMg0OXlpU5PTyVJLy8ven19jT2rbduaz+db5/0tnU5rtVr9cV0Us9lMb29vcl1XpmlKkiaTSayeALALwRcAvkmxWNRyudRoNNLZ2ZmCINDV1VWk2lKptLl+8PHxoWazqWw2G3umVqulWq0my7JUr9eVSqU0nU4VhqE6nY6kX5cdHh8fVa1Wtb+/r3w+H6kuCsuytLe3p9FopEajoTAM1W63Y+8FANtw1QEAvkm5XNZgMFCv19PR0ZF831e3241Ue319rff3d9m2rfPzc11cXKhQKMSeyXEc3d3d6f7+XsfHxzo5OdFwONTBwcHmH8/z9PDwINM0ValUItdFYRiGbm5udHt7q8PDQ7muq36/H3svANjmx3q9Xv/vIQAAAIB/jRdfAAAAJALBFwAAAIlA8AUAAEAiEHwBAACQCARfAAAAJALBFwAAAIlA8AUAAEAiEHwBAACQCARfAAAAJALBFwAAAIlA8AUAAEAi/ASdSkBjR/2+bQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate uniformly sampled values for `a` and `b`\n", "ua_values = np.random.uniform(a_range[0], a_range[1], n_samples)\n", "ub_values = np.random.uniform(b_range[0], b_range[1], n_samples)\n", "\n", "# Plot the Latin Hypercube samples as a 2D scatter plot\n", "plt.figure(figsize=(8, 6))\n", "plt.scatter(a_values, b_values, alpha=0.7)\n", "plt.scatter(ua_values, ub_values, alpha=0.7,c='r')\n", "plt.xlabel(\"Parameter a\")\n", "plt.ylabel(\"Parameter b\")\n", "plt.title(\"Latin Hypercube Sampling for Parameters a and b\")\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5649d3fc-5c5a-48d5-b1b8-17a5a075f29e", "metadata": {}, "source": [ "## Question 11\n", "\n", "\n", "Create the interpolator over the parameter space $(a,b)$, interpolating over samples of the function evaluated at the original time grid $t$.\n", "\n", "As you will realise, we are dealing with an irregular grid and need the `griddata` method ([doc](https://docs.scipy.org/doc/scipy/reference/generated/scipy.interpolate.griddata.html)). " ] }, { "cell_type": "markdown", "id": "4693a063-0eb0-465c-9e95-f24407736350", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 26, "id": "6c45d399-0b74-4983-ad05-22a92d11b3c7", "metadata": {}, "outputs": [], "source": [ "t = np.linspace(0, 1, 100) # Time range with 100 points, always fixed\n", "\n", "from scipy.interpolate import griddata\n", "# Generate function samples for each (a, b) pair over time `t`\n", "# Create lists to hold points and values for interpolation\n", "points = [] # Will store (t, a, b) tuples\n", "values = [] # Will store corresponding f(t, a, b, c) values\n", "\n", "for a, b in zip(a_values, b_values):\n", " for time in t:\n", " points.append((time, a, b))\n", " values.append(f(time, a, b, c)) # Replace `f` with your actual function definition\n", "\n", "# Convert lists to NumPy arrays for griddata use\n", "points = np.array(points) # Shape: (len(t) * n_samples, 3)\n", "values = np.array(values) # Shape: (len(t) * n_samples,)\n", "\n", "# Define a function to interpolate over new values of `a` and `b` using griddata\n", "def interpolate_f_over_a_b(tgrid, new_a, new_b):\n", " # Create an array of (time, new_a, new_b) points to interpolate\n", " query_points = np.array([(time, new_a, new_b) for time in tgrid])\n", " \n", " # Use griddata to interpolate the function at the given points\n", " interpolated_values = griddata(points, values, query_points, method='linear')\n", " return interpolated_values\n", "\n" ] }, { "cell_type": "markdown", "id": "b4669ed0-b3e9-411a-9ec9-d0db11841597", "metadata": {}, "source": [ "## Question 12 \n", "\n", "Show results with a sliding scale plot for $a$ and $b$.\n", "\n", "On a different sliding bar plot, show the ratio between the interpolated values and the true values of the function evaluated at the original time grid $t$. " ] }, { "cell_type": "markdown", "id": "a2c3a46a", "metadata": {}, "source": [ "What do you observe? \n", "\n", "Does it make sense? " ] }, { "cell_type": "markdown", "id": "b8a99621-7906-49d9-93c3-c95efc09870e", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 28, "id": "2540ec71-00ed-4d94-aa57-ef94126450dd", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "942b0fc124ca44fbad700bb1a50c0fdc", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=0.125, description='a', max=1.0, step=0.01), FloatSlider(value=0.0, de…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from ipywidgets import interact, FloatSlider\n", "import ipywidgets as widgets\n", "\n", "tn = np.linspace(0, 1, 100) \n", "\n", "# Define the interpolator function for dynamic plotting\n", "def plot_with_interpolated_values(ap, bp):\n", " # Original function values for given `a` and `b`\n", " original_values = f(tn, ap, bp, c) # Replace `f` with your actual function definition\n", " \n", " # Interpolated values for the given `a` and `b`\n", " # interpolated_values = interpolator([(time, ap, bp) for time in tn])\n", " interpolated_values = interpolate_f_over_a_b(tn, ap, bp)\n", " \n", " # Plot the results\n", " plt.figure(figsize=(10, 6))\n", " plt.plot(tn, original_values, label=r'$f(t; a, b)$', color='blue',ls='None',marker='o')\n", " plt.plot(tn, interpolated_values, label=r'$F_{interp}(t)$', color='red', linestyle='None',marker='o')\n", " plt.xlabel('Time $t$')\n", " plt.ylabel(r'$f(t)$')\n", " plt.title(r'Time Series $f(t; a, b)$')\n", " plt.legend()\n", " plt.grid(True)\n", " plt.show()\n", "\n", "# Define sliders for `a` and `b`\n", "a_slider = FloatSlider(value=0.125, min=0.0, max=1.0, step=0.01, description='a')\n", "b_slider = FloatSlider(value=0.0, min=-0.5, max=0.5, step=0.01, description='b')\n", "\n", "# Use `interact` to create the interactive plot\n", "interact(plot_with_interpolated_values, ap=a_slider, bp=b_slider)\n" ] }, { "cell_type": "code", "execution_count": 30, "id": "35aec21f-b5f3-4766-b3e1-cd48e798a403", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "ca75072a45044b1b9146e9190ff4c4a5", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=0.125, description='a', max=1.0, step=0.01), FloatSlider(value=0.0, de…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\n", "# Define the interpolator function for dynamic plotting\n", "def plot_with_interpolated_values(ap, bp):\n", " # Original function values for given `a` and `b`\n", " original_values = f(tn, ap, bp, c) # Replace `f` with your actual function definition\n", " \n", " # Interpolated values for the given `a` and `b`\n", " interpolated_values = interpolate_f_over_a_b(tn, ap, bp)\n", " \n", " # Plot the results\n", " plt.figure(figsize=(10, 6))\n", " plt.plot(tn, 100*(interpolated_values-original_values)/original_values, label=r'relative difference', color='red', linestyle='--')\n", " plt.xlabel('Time $t$')\n", " plt.ylabel(r'rel diff %')\n", " plt.title(r'Time Series $f(t; a, b, c)$')\n", " plt.legend()\n", " plt.ylim(-2,2)\n", " plt.grid(True)\n", " plt.show()\n", "\n", "# Define sliders for `a` and `b`\n", "a_slider = FloatSlider(value=0.125, min=0.0, max=1.0, step=0.01, description='a')\n", "b_slider = FloatSlider(value=0.0, min=-0.5, max=0.5, step=0.01, description='b')\n", "\n", "# Use `interact` to create the interactive plot\n", "interact(plot_with_interpolated_values, ap=a_slider, bp=b_slider)" ] }, { "cell_type": "markdown", "id": "8738db23-112c-4606-99e2-7f13e5995847", "metadata": {}, "source": [ "Interpolation is now even harder (memory, accurracy, compute time, etc) and much less accurate. We start to see the real effects of curse of dimensionality!" ] }, { "cell_type": "markdown", "id": "2780bf9c-2254-41bd-ba0e-30cd168f1036", "metadata": {}, "source": [ "## Question 13\n", "\n", "Compare memory and time of (i) the original function call and (ii) the interpolator call. \n", "\n", "Comment. " ] }, { "cell_type": "markdown", "id": "9587509c-c68a-4267-b2fd-b3fa38a81a1d", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 32, "id": "8d309f61-dd4e-43a5-8ce4-ba32a49fdb6e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Original function call time (10 runs): 0.0002 seconds\n", "Interpolator call time (10 runs): 3.9441 seconds\n", "Original function call memory usage: 0.0027 MB\n", "Interpolator call memory usage: 10.8302 MB\n" ] } ], "source": [ "import numpy as np\n", "import tracemalloc\n", "import timeit\n", "\n", "# Define the time array `tn`\n", "tn = np.linspace(0, 1, 100) # Increase number of points for the test\n", "ap = 0.125 # Fixed values for parameters\n", "bp = 0.1\n", "c, d, e = 1.0, 1.0, 1.0 # Fixed parameters for `f`\n", "\n", "# Define a wrapper function to measure the original function call\n", "def original_function_call():\n", " return f(tn, ap, bp, c) # Replace `f` with your actual function definition\n", "\n", "# Define a wrapper function to measure the interpolator call\n", "def interpolator_call():\n", " return interpolate_f_over_a_b(tn, ap, bp)\n", "\n", "# Measure time\n", "time_original = timeit.timeit(original_function_call, number=10)\n", "time_interpolator = timeit.timeit(interpolator_call, number=10)\n", "\n", "# Measure memory using tracemalloc\n", "def measure_memory(func):\n", " tracemalloc.start()\n", " func() # Run the function to allocate memory\n", " current, peak = tracemalloc.get_traced_memory()\n", " tracemalloc.stop()\n", " return peak / (1024 * 1024) # Memory in MB\n", "\n", "memory_original = measure_memory(original_function_call)\n", "memory_interpolator = measure_memory(interpolator_call)\n", "\n", "# Print results\n", "print(f\"Original function call time (10 runs): {time_original:.4f} seconds\")\n", "print(f\"Interpolator call time (10 runs): {time_interpolator:.4f} seconds\")\n", "print(f\"Original function call memory usage: {memory_original:.4f} MB\")\n", "print(f\"Interpolator call memory usage: {memory_interpolator:.4f} MB\")" ] }, { "cell_type": "markdown", "id": "2f058985-9af3-42a4-aab0-c17ce0ac1806", "metadata": {}, "source": [ "Numbers make sense, with respect to what we explain about curse of dimensionality!" ] }, { "cell_type": "markdown", "id": "83be78d0-b133-4fe3-80a7-45c011f35688", "metadata": {}, "source": [ "## Question 14\n", "\n", "Add a third parameter, $c$ to our interpolation problem and repeat questions 9 to 13. \n", "\n", "For this parameter, use a range of $5" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "\n", "# Plot the Latin Hypercube samples in 3D\n", "fig = plt.figure(figsize=(10, 8))\n", "ax = fig.add_subplot(111, projection='3d')\n", "sc = ax.scatter(a_values, b_values, c_values, c=a_values, cmap='viridis', marker='o', alpha=0.7)\n", "\n", "# Set plot labels and title\n", "ax.set_xlabel('Parameter a')\n", "ax.set_ylabel('Parameter b')\n", "ax.set_zlabel('Parameter c')\n", "ax.set_title('3D Latin Hypercube Sampling for Parameters a, b, and c')" ] }, { "cell_type": "code", "execution_count": 35, "id": "6e25a16b-d0f9-4fd1-8dbc-aaaab0ff4743", "metadata": {}, "outputs": [], "source": [ "t = np.linspace(0, 1, 100) # Time range with 100 points, always fixed\n", "\n", "from scipy.interpolate import griddata\n", "# Generate function samples for each (a, b) pair over time `t`\n", "# Create lists to hold points and values for interpolation\n", "points = [] # Will store (t, a, b) tuples\n", "values = [] # Will store corresponding f(t, a, b, c, d, e) values\n", "\n", "for a, b, c in zip(a_values, b_values,c_values):\n", " for time in t:\n", " points.append((time, a, b, c))\n", " values.append(f(time, a, b, c)) # Replace `f` with your actual function definition\n", "\n", "# Convert lists to NumPy arrays for griddata use\n", "points = np.array(points) # Shape: (len(t) * n_samples, 3)\n", "values = np.array(values) # Shape: (len(t) * n_samples,)\n", "\n", "# Define a function to interpolate over new values of `a` and `b` using griddata\n", "def interpolate_f_over_a_b_c(tgrid, new_a, new_b, new_c):\n", " # Create an array of (time, new_a, new_b) points to interpolate\n", " query_points = np.array([(time, new_a, new_b, new_c) for time in tgrid])\n", " \n", " # Use griddata to interpolate the function at the given points\n", " interpolated_values = griddata(points, values, query_points, method='linear')\n", " return interpolated_values" ] }, { "cell_type": "code", "execution_count": 37, "id": "0e8bb9b2-9cce-4727-8705-b6218e3b8d18", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "1226ebf4bf36473b92acfadafcc13f1c", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=0.125, description='a', max=1.0, step=0.01), FloatSlider(value=0.0, de…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from ipywidgets import interact, FloatSlider\n", "import ipywidgets as widgets\n", "\n", "tn = np.linspace(0, 1, 100) \n", "\n", "# Define the interpolator function for dynamic plotting\n", "def plot_with_interpolated_values(ap, bp, cp):\n", " # Original function values for given `a` and `b` and `c` \n", " original_values = f(tn, ap, bp, cp) # Replace `f` with your actual function definition\n", " \n", " # Interpolated values for the given `a` and `b` and `c` \n", " interpolated_values = interpolate_f_over_a_b_c(tn, ap, bp, cp)\n", " \n", " # Plot the results\n", " plt.figure(figsize=(10, 6))\n", " plt.plot(tn, original_values, label=r'$f(t; a, b, c)$', color='blue', linestyle='None',marker='o')\n", " plt.plot(tn, interpolated_values, label=r'$F_{interp}(t)$', color='red', linestyle='None',marker='o')\n", " plt.xlabel('Time $t$')\n", " plt.ylabel(r'$f(t)$')\n", " plt.title(r'Time Series $f(t; a, b, c)$')\n", " plt.legend()\n", " plt.grid(True)\n", " plt.show()\n", "\n", "# Define sliders for `a` and `b`\n", "a_slider = FloatSlider(value=0.125, min=0.0, max=1.0, step=0.01, description='a')\n", "b_slider = FloatSlider(value=0.0, min=-0.5, max=0.5, step=0.01, description='b')\n", "c_slider = FloatSlider(value=6, min=5, max=10, step=0.01, description='c')\n", "# Use `interact` to create the interactive plot\n", "interact(plot_with_interpolated_values, ap=a_slider, bp=b_slider, cp=c_slider)" ] }, { "cell_type": "code", "execution_count": 38, "id": "1c37b8e6-7ae0-48c9-a7c0-0b3fbd98c978", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "df47bdaa21354cb29b0f1b78c9462c5c", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=0.125, description='a', max=1.0, step=0.01), FloatSlider(value=0.0, de…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\n", "# Define the interpolator function for dynamic plotting\n", "def plot_with_interpolated_values(ap, bp, cp):\n", " # Original function values for given `a` and `b`\n", " original_values = f(tn, ap, bp, cp) # Replace `f` with your actual function definition\n", " \n", " # Interpolated values for the given `a` and `b`\n", " interpolated_values = interpolate_f_over_a_b_c(tn, ap, bp, cp)\n", " \n", " # Plot the results\n", " plt.figure(figsize=(10, 6))\n", " plt.plot(tn, 100*(interpolated_values-original_values)/original_values, label=r'relative difference', color='red', linestyle='--')\n", " plt.xlabel('Time $t$')\n", " plt.ylabel(r'rel diff %')\n", " plt.title(r'Time Series $f(t; a, b, c)$')\n", " plt.legend()\n", " plt.ylim(-2,2)\n", " plt.grid(True)\n", " plt.show()\n", "\n", "# Define sliders for `a` and `b`\n", "a_slider = FloatSlider(value=0.125, min=0.0, max=1.0, step=0.01, description='a')\n", "b_slider = FloatSlider(value=0.0, min=-0.5, max=0.5, step=0.01, description='b')\n", "c_slider = FloatSlider(value=9, min=5, max=10, step=0.01, description='c')\n", "# Use `interact` to create the interactive plot\n", "interact(plot_with_interpolated_values, ap=a_slider, bp=b_slider, cp=c_slider)" ] }, { "cell_type": "code", "execution_count": 40, "id": "130022b4-284e-4e76-a028-665b7cd859d2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Original function call time (100 runs): 0.0022 seconds\n", "Interpolator call time (1 runs): 5.2599 seconds\n", "Original function call memory usage: 0.0027 MB\n", "Interpolator call memory usage: 65.9616 MB\n" ] } ], "source": [ "import numpy as np\n", "import tracemalloc\n", "import timeit\n", "\n", "# Define the time array `tn`\n", "tn = np.linspace(0, 1, 100) # Increase number of points for the test\n", "ap = 0.125 # Fixed values for parameters\n", "bp = 0.1\n", "cp = 9.\n", "d, e = 1.0, 1.0 # Fixed parameters for `f`\n", "\n", "# Define a wrapper function to measure the original function call\n", "def original_function_call():\n", " return f(tn, ap, bp, cp) # Replace `f` with your actual function definition\n", "\n", "# Define a wrapper function to measure the interpolator call\n", "def interpolator_call():\n", " return interpolate_f_over_a_b_c(tn, ap, bp, cp)\n", "\n", "# Measure time\n", "time_original = timeit.timeit(original_function_call, number=100)\n", "time_interpolator = timeit.timeit(interpolator_call, number=1)\n", "\n", "# Measure memory using tracemalloc\n", "def measure_memory(func):\n", " tracemalloc.start()\n", " func() # Run the function to allocate memory\n", " current, peak = tracemalloc.get_traced_memory()\n", " tracemalloc.stop()\n", " return peak / (1024 * 1024) # Memory in MB\n", "\n", "memory_original = measure_memory(original_function_call)\n", "memory_interpolator = measure_memory(interpolator_call)\n", "\n", "# Print results\n", "print(f\"Original function call time (100 runs): {time_original:.4f} seconds\")\n", "print(f\"Interpolator call time (1 runs): {time_interpolator:.4f} seconds\")\n", "print(f\"Original function call memory usage: {memory_original:.4f} MB\")\n", "print(f\"Interpolator call memory usage: {memory_interpolator:.4f} MB\")" ] }, { "cell_type": "markdown", "id": "f0131d70-dd79-4bef-89cc-8fbb73a49cb2", "metadata": {}, "source": [ "## Question 15\n", "\n", "Instead of interpolating with the griddata method, use (i) a gaussian process, and (ii) a neural network whose output layer is the function predicted at the $10^2$ points of the time grid and input layer is $a,b,c$ values. \n", "\n", "What do you observe in terms of (i) time and (ii) memory? Comment on scalability in all cases covered. \n", "\n", "\n", "**Tips**: For the neural net part of this question use Google Colab and the GPUs there. Training should take a few minutes. A good idea for you to practice is also to use CSD3 to solve this question.\n" ] }, { "cell_type": "markdown", "id": "9e895313-17d7-4cce-b626-83064ef8cee8", "metadata": {}, "source": [ "### Solution\n", "\n", "Gaussian Process " ] }, { "cell_type": "code", "execution_count": 41, "id": "b4f41e81-819f-45fc-9b80-d48983831c36", "metadata": {}, "outputs": [], "source": [ "from sklearn.gaussian_process import GaussianProcessRegressor\n", "from sklearn.gaussian_process.kernels import RBF, ConstantKernel as C\n", "\n", "# Define a Gaussian Process model with an RBF kernel\n", "kernel = C(1.0) * RBF(length_scale=[1.0, 1.0, 1.0, 1.0])\n", "gp = GaussianProcessRegressor(kernel=kernel, n_restarts_optimizer=10, alpha=1e-3)" ] }, { "cell_type": "code", "execution_count": 28, "id": "5564b2bf-aa6e-45b4-b166-a73d1b3dc1eb", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
GaussianProcessRegressor(alpha=0.001,\n",
       "                         kernel=1**2 * RBF(length_scale=[1, 1, 1, 1]),\n",
       "                         n_restarts_optimizer=10)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
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" ], "text/plain": [ "GaussianProcessRegressor(alpha=0.001,\n", " kernel=1**2 * RBF(length_scale=[1, 1, 1, 1]),\n", " n_restarts_optimizer=10)" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Train the GP model\n", "gp.fit(points, values)\n" ] }, { "cell_type": "code", "execution_count": 29, "id": "f3adcd84-b07e-45eb-8929-54b69ee9cdf5", "metadata": {}, "outputs": [], "source": [ "\n", "# Define the interpolation function using the trained GP\n", "def interpolate_f_over_a_b_c_gp(tgrid, new_a, new_b, new_c):\n", " # Prepare query points\n", " query_points = np.array([(time, new_a, new_b, new_c) for time in tgrid])\n", " # Predict using the GP model\n", " interpolated_values, _ = gp.predict(query_points, return_std=True)\n", " return interpolated_values\n" ] }, { "cell_type": "code", "execution_count": 31, "id": "b86c74a3-65c7-424b-9abf-cd10a7668519", "metadata": {}, "outputs": [], "source": [ "# Define a wrapper function to measure the interpolator call\n", "def interpolator_gp_call():\n", " return interpolate_f_over_a_b_c_gp(tn, ap, bp, cp)" ] }, { "cell_type": "code", "execution_count": 32, "id": "0ab5b971-f631-4843-b055-b54f4b7236ac", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Interpolator call time (1 runs): 0.2925 seconds\n" ] } ], "source": [ "time_interpolator_gp = timeit.timeit(interpolator_gp_call, number=1)\n", "print(f\"Interpolator call time (1 runs): {time_interpolator_gp:.4f} seconds\")" ] }, { "cell_type": "code", "execution_count": 34, "id": "4248eba0-0a8f-4c34-90e6-0c18e74e0348", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Interpolator call memory usage: 30.5227 MB\n" ] } ], "source": [ "memory_interpolator_gp = measure_memory(interpolator_gp_call)\n", "print(f\"Interpolator call memory usage: {memory_interpolator_gp:.4f} MB\")\n" ] }, { "cell_type": "markdown", "id": "7dcc96f0-9915-478c-8263-9c1d7f4576ba", "metadata": {}, "source": [ "Neural net solution provided in [this](https:/...) Colab notebook." ] }, { "cell_type": "markdown", "id": "ba098142-9236-4435-b095-792fc7c3df62", "metadata": {}, "source": [ "### Note on Gaussian Process vs Neural Net\n", "\n", "\n", "Gaussian Process (GP) Interpolation\n", "\n", "Gaussian Processes are a probabilistic model for regression that can handle multi-dimensional interpolation. They are particularly useful when the function is smooth and continuous.\n", "\n", "1. **Prepare Training Data**: Use your `(t, a, b, c)` points as inputs and the function values as outputs.\n", "\n", "2. **Train a Gaussian Process Regressor**.\n", "\n", "3. **Use the Trained GP for Interpolation**.\n", "\n", "Explanation of the Gaussian Process Code\n", "\n", "1. **Kernel**: We use an RBF (Radial Basis Function) kernel, which is commonly used for smooth interpolation tasks. The `length_scale` controls the smoothness along each dimension.\n", "\n", "2. **Training the GP**: The GP model is trained on the `(t, a, b, c)` points with corresponding function values.\n", "\n", "3. **Interpolating**: `interpolate_f_over_a_b_c_gp` uses the trained GP to interpolate over new values of `a`, `b`, and `c`.\n", "\n", "\n", "\n", "| Method | Pros | Cons |\n", "|----------------------|--------------------------------------------------------------------------------------------------|-----------------------------------------------------------------------|\n", "| **Gaussian Process** | Provides uncertainty estimates; works well for smooth, continuous functions | Slower for large datasets; memory-intensive |\n", "| **Neural Network** | Scales well to large datasets; works for complex, non-linear functions | No uncertainty estimates; requires more data for training stability |\n", "\n", "Choose the method based on the size of your dataset and the nature of your function `f`. Gaussian Processes are typically best for small to moderate-sized datasets with smooth functions, while neural networks are better for larger datasets or more complex functions." ] }, { "cell_type": "markdown", "id": "879565c5-a142-44a2-8065-6fa419ddb32c", "metadata": {}, "source": [ "## Note on Latin Hyper Cube sampling" ] }, { "cell_type": "markdown", "id": "781f4fe9-555c-4f67-be23-91b982bef28d", "metadata": {}, "source": [ "Why not using uniform sampling?\n", "\n", "No, Latin Hypercube Sampling (LHS) is not the same as uniform (random) sampling. While both methods aim to sample points across a parameter space, they differ in how they distribute those points, especially in higher dimensions.\n", "\n", "\n", "\n", "1. **Stratification**:\n", " \n", " - **Latin Hypercube Sampling** divides the range of each parameter into equal intervals and ensures that each interval is sampled exactly once. This helps LHS achieve a more uniform distribution across the parameter space by avoiding clusters and ensuring coverage across all intervals.\n", " \n", " - **Uniform (Random) Sampling**, on the other hand, does not enforce such stratification, so points can cluster together or leave large gaps in the parameter space.\n", "\n", "2. **Dimensional Coverage**:\n", " \n", " - **LHS** is particularly effective in high-dimensional spaces because it ensures each sampled point covers different parts of each dimension.\n", " \n", " - **Uniform Sampling** lacks this structured approach, so some dimensions may not be as well-covered, especially with a limited number of samples.\n", "\n", "3. **Sample Distribution**:\n", " \n", " - With **LHS**, each row and each column in a 2D sampling grid (or each \"slice\" in higher dimensions) contains exactly one sample point. This constraint leads to a better spread of points.\n", " \n", " - **Uniform Sampling** does not have this constraint, which can lead to points overlapping or clustering in certain areas.\n", "\n", "\n", "\n", "In a 2D plot:\n", "- **LHS** will ensure that each interval along both the `a` and `b` axes is sampled once, leading to a \"grid-like\" distribution.\n", "- **Uniform Sampling** will scatter points without ensuring they appear in every interval, so it may result in some intervals having multiple points while others have none.\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.13" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": { "006cc9a838a342a3890a3b538f81caa2": 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\n", 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\n", "text/plain": "
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recent call last)", "File \u001b[0;32m~/opt/miniconda3/lib/python3.9/site-packages/ipywidgets/widgets/interaction.py:239\u001b[0m, in \u001b[0;36minteractive.update\u001b[0;34m(self, *args)\u001b[0m\n\u001b[1;32m 237\u001b[0m value \u001b[38;5;241m=\u001b[39m widget\u001b[38;5;241m.\u001b[39mget_interact_value()\n\u001b[1;32m 238\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mkwargs[widget\u001b[38;5;241m.\u001b[39m_kwarg] \u001b[38;5;241m=\u001b[39m value\n\u001b[0;32m--> 239\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mresult \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mf\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 240\u001b[0m show_inline_matplotlib_plots()\n\u001b[1;32m 241\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mauto_display \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mresult \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n", "Cell \u001b[0;32mIn [19], line 7\u001b[0m, in \u001b[0;36mplot_interpolated_relative_difference\u001b[0;34m(ap)\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mplot_interpolated_relative_difference\u001b[39m(ap):\n\u001b[1;32m 6\u001b[0m \u001b[38;5;66;03m# Calculate the relative difference\u001b[39;00m\n\u001b[0;32m----> 7\u001b[0m r \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m100\u001b[39m \u001b[38;5;241m*\u001b[39m (interpolate_f_over_a(ap) \u001b[38;5;241m/\u001b[39m f(t, ap, b, c, \u001b[43md\u001b[49m, e) \u001b[38;5;241m-\u001b[39m \u001b[38;5;241m1.\u001b[39m)\n\u001b[1;32m 9\u001b[0m \u001b[38;5;66;03m# Plot the relative difference\u001b[39;00m\n\u001b[1;32m 10\u001b[0m plt\u001b[38;5;241m.\u001b[39mfigure(figsize\u001b[38;5;241m=\u001b[39m(\u001b[38;5;241m10\u001b[39m, \u001b[38;5;241m6\u001b[39m))\n", "\u001b[0;31mNameError\u001b[0m: name 'd' is not defined" ] } ] } }, "31c9311b674b4f38b0e6e1ca117db142": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "VBoxModel", "state": { "_dom_classes": [ "widget-interact" ], "children": [ "IPY_MODEL_cbb8b9bf46854902a6eb86cb9253e110", "IPY_MODEL_314f2cd2ced24017ad6069b0e9298555" ], "layout": "IPY_MODEL_2eec2750dff7411796c71e703da0520b" } }, "35718f1f68024992ae493c34bd8fc0e2": { "model_module": "@jupyter-widgets/base", "model_module_version": "2.0.0", "model_name": "LayoutModel", "state": {} }, "37c39a9e4d574da68e8ff31b69bb11f1": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "3ba2e329da0148fe88b91a17e7f715c0": { 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\u001b[0;32m~/opt/miniconda3/lib/python3.9/site-packages/ipywidgets/widgets/interaction.py:239\u001b[0m, in \u001b[0;36minteractive.update\u001b[0;34m(self, *args)\u001b[0m\n\u001b[1;32m 237\u001b[0m value \u001b[38;5;241m=\u001b[39m widget\u001b[38;5;241m.\u001b[39mget_interact_value()\n\u001b[1;32m 238\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mkwargs[widget\u001b[38;5;241m.\u001b[39m_kwarg] \u001b[38;5;241m=\u001b[39m value\n\u001b[0;32m--> 239\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mresult \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mf\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 240\u001b[0m show_inline_matplotlib_plots()\n\u001b[1;32m 241\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mauto_display \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mresult \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n", "Cell \u001b[0;32mIn [27], line 11\u001b[0m, in \u001b[0;36mplot_with_interpolated_values\u001b[0;34m(ap, bp)\u001b[0m\n\u001b[1;32m 9\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mplot_with_interpolated_values\u001b[39m(ap, bp):\n\u001b[1;32m 10\u001b[0m \u001b[38;5;66;03m# Original function values for given `a` and `b`\u001b[39;00m\n\u001b[0;32m---> 11\u001b[0m original_values \u001b[38;5;241m=\u001b[39m f(tn, ap, bp, c, \u001b[43md\u001b[49m, e) \u001b[38;5;66;03m# Replace `f` with your actual function definition\u001b[39;00m\n\u001b[1;32m 13\u001b[0m \u001b[38;5;66;03m# Interpolated values for the given `a` and `b`\u001b[39;00m\n\u001b[1;32m 14\u001b[0m \u001b[38;5;66;03m# interpolated_values = interpolator([(time, ap, bp) for time in tn])\u001b[39;00m\n\u001b[1;32m 15\u001b[0m interpolated_values \u001b[38;5;241m=\u001b[39m interpolate_f_over_a_b(tn, ap, bp)\n", "\u001b[0;31mNameError\u001b[0m: name 'd' is not defined" ] } ] } }, "51b3681e89c74d3094b9b8897e2291e3": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "51cabaad3c6340b0b0b2f792ed29e2b9": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "FloatSliderModel", "state": { "behavior": "drag-tap", "description": "a", "layout": "IPY_MODEL_bbf0071beff349cb95c68b7ec9416e51", "max": 1, "step": 0.01, "style": "IPY_MODEL_6e41dc9a7824470db3d4fbf69ae32127", "value": 0.13 } }, "5408767d93b34d7492aa01b82eb0cdb5": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "VBoxModel", "state": { "_dom_classes": [ "widget-interact" ], "children": [ 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\n", 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\n", "text/plain": "
" }, "metadata": {}, "output_type": "display_data" } ] } }, "677b8db567c9444e80ab39a1ebb2dfea": { "model_module": "@jupyter-widgets/base", "model_module_version": "2.0.0", "model_name": "LayoutModel", "state": {} }, "67ffcc263f6c40f88b20cfb6777362a2": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "FloatSliderModel", "state": { "behavior": "drag-tap", "description": "b", "layout": "IPY_MODEL_09124dc5d51e4501a286396e7317b4e9", "max": 0.5, "min": -0.5, "step": 0.01, "style": "IPY_MODEL_5438580d63f14db38502985c4023425c" } }, "686e5fcff7d6481090ceb2065eca6ca4": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "layout": "IPY_MODEL_afd2744d2ebd4cb9824955201adbec4d", "outputs": [ { "data": { "image/png": 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\n", 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\u001b[0;32m~/opt/miniconda3/lib/python3.9/site-packages/ipywidgets/widgets/interaction.py:239\u001b[0m, in \u001b[0;36minteractive.update\u001b[0;34m(self, *args)\u001b[0m\n\u001b[1;32m 237\u001b[0m value \u001b[38;5;241m=\u001b[39m widget\u001b[38;5;241m.\u001b[39mget_interact_value()\n\u001b[1;32m 238\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mkwargs[widget\u001b[38;5;241m.\u001b[39m_kwarg] \u001b[38;5;241m=\u001b[39m value\n\u001b[0;32m--> 239\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mresult \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mf\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 240\u001b[0m show_inline_matplotlib_plots()\n\u001b[1;32m 241\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mauto_display \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mresult \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n", "Cell \u001b[0;32mIn [36], line 11\u001b[0m, in \u001b[0;36mplot_with_interpolated_values\u001b[0;34m(ap, bp, cp)\u001b[0m\n\u001b[1;32m 9\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mplot_with_interpolated_values\u001b[39m(ap, bp, cp):\n\u001b[1;32m 10\u001b[0m \u001b[38;5;66;03m# Original function values for given `a` and `b` and `c` \u001b[39;00m\n\u001b[0;32m---> 11\u001b[0m original_values \u001b[38;5;241m=\u001b[39m \u001b[43mf\u001b[49m\u001b[43m(\u001b[49m\u001b[43mtn\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43map\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mbp\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mcp\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43md\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43me\u001b[49m\u001b[43m)\u001b[49m \u001b[38;5;66;03m# Replace `f` with your actual function definition\u001b[39;00m\n\u001b[1;32m 13\u001b[0m \u001b[38;5;66;03m# Interpolated values for the given `a` and `b` and `c` \u001b[39;00m\n\u001b[1;32m 14\u001b[0m interpolated_values \u001b[38;5;241m=\u001b[39m interpolate_f_over_a_b_c(tn, ap, bp, cp)\n", "\u001b[0;31mTypeError\u001b[0m: f() takes 4 positional arguments but 6 were given" ] } ] } }, "c10b7914723d45e1ac2069d1bf48c94b": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, "c2c21060af24441dbe7b6b39d1ac2a6f": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, 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uLlkPCjRkkWW1WjFs2DA0atQIVapUyfJ2MTExGTZNBMTmkzExMVneZ/LkyZgwYYLDshIRERERkbmcP38exYoVy/L7hiyyhgwZgiNHjuDvv/92+GOPHj06Q+/XrVu3ULx4cZw5cwa+vr4OP15OpKSkYNOmTWjWrBnc3d2lZiFjYJsxKEWBW2goLKmpSNm/HwgL0+zQRmgzLlOmwHX6dKT16wfrtGmy4zg9R7YZy+bNsGzbBqVuXSitWjko4X/ExcE9PBwAkHLxIuDhoc5xKEtGeJ1xKgcPwnL3LpTy5QF/f80O61a4MCyKgpSjR4H/dIr8l57azO3bt1GqVKlH1gWGK7KGDh2KlStXYuvWrdlWjwAQEhKCy5cvZ7ju8uXLCAkJyfI+np6e8PT0fOj6gIAA+Pn55S60g6SkpMDHxweFChWS3sDIGNhmDOrWLSA1VVwuXx7w9tbs0IZoMz4+4tzLCyhUSG4Wcmyb2bcP+OQT4NVXge7dHRPwv9weeOtTqBCLLAkM8TrjTN58Uzz3Vq8GnnpKu+NaLICiAAEBj3wt11ObsR3/UdOIDLO6oKIoGDp0KJYvX46NGzeiVKlSj7xPgwYNsGHDhgzXrVu3Dg0aNFArJhFR3l25Is7z59e0wCKSLi1NnLu6ys1B5EySk8U5P3BwKMP0ZA0ZMgSLFi3Cr7/+Cl9f3/R5VQUKFID3vTchvXr1QtGiRTF58mQAwGuvvYYmTZrgo48+Qtu2bfHTTz9hz549mD17trSfg4jokYoUATZsAOLjZSch0haLLCLtpaSIcxZZDmWYIuvrr78GADRt2jTD9fPmzUOfPn0AANHR0RlW+WjYsCEWLVqEd955B2PGjEHZsmWxYsWKbBfLICKSLl8+oHlz2Sn0KygIqFQJCA2VnYQcTYsiy8VFtB9ADFcicnayerIqVQKsVtN+qGKYIsue7bw2b9780HWdO3dG586dVUh0n6IoSE1NRZrtn4NKUlJS4Obmhrt376p+LDKH7NqMq6sr3NzcuDUBGc+QIeJE5qNFkeXrCxw9qt7jExmNrcjSeq7T4cPaHk9jhimy9Co5ORmXLl1CYmKi6sdSFAUhISE4f/483xiTXR7VZnx8fBAaGgoPDhHQl23bxJvAOnWAWrVkpyHSDocLEmmPc7JUwSIrD6xWK86cOQNXV1cUKVIEHh4eqhY/VqsV8fHxyJ8/f7abnxHZZNVmFEVBcnIyrl69ijNnzqBs2bJsU3ry88/A558Do0axyCLnwiKLSHuck6UKFll5kJycDKvVirCwMPjYlhRWkdVqRXJyMry8vPiGmOySXZvx9vaGu7s7zp07l34b0omrV8V54cJyc+jVV18BM2aIJb7feUd2GnKkMWOAgQOBbLZaybPbt4HHHhOX9+/nG0ui8eOBhATt/+dUqyY+WNm82ZT/71hkOQALHjIqtl2dsi3hHhQkN4deXb0KHDsGXLokOwk5WliY+ptvW62i/QBijx4iZzdsmJzjHjsmiizbvpAmw3dYRER6wyKLiIjI0NiTRUSkNxwuSM7q11/Fp9tPPgnUqyc7DZH5Wa3Anj1i2GzVqpwP6UDsySK7NW3aFMMc0KXsqMfJ63FLliyJTz/9NP3rmJgYtGzZEvny5YO/v3+W1xGpymq9X2SxJ4uczeLFYl7Wtm2ykxA5h8REoH59oGZN4O5d2WlMhT1ZpJrNmzejWbNmuHHjRoYCZdmyZXDXei+GTOzevRv58uVL//qTTz7BpUuXcODAARQoUCDL64hUdfPm/RXWAgOlRiHSHFcXJNKWbWVBgIvAOBiLLEJycrKm+yQFBARodqzsFP7PUKxTp06hdu3aKFu2bLbX5ZTWv18yuHz5gI0bgevXAU9P2WmItGW1inMWWUTasO2RBQBuLAscicMF1ZCQkPXpv12x2d32zh37bptDTZs2xdChQzFs2DAEBgYiIiICAHDkyBE89dRTyJ8/P4KDg/HCCy/g2rVrWT7O999/jzp16sDX1xchISHo0aMHrtybsH/27Fk0a9YMAFCwYEFYLBb06dMn/fi2YXtjxoxB/fr1H3rs6tWrY+LEielfz5kzBxUrVoSXlxcqVKiAGTNmZPszJiQkoFevXsifPz9CQ0Px0UcfPXSbB4cLlixZEr/88gsWLFiQnjWz6wDg5s2bGDBgAAoXLgw/Pz80b94cBw8eTH/cd999FzVq1MCcOXNQqlSp9KXR7b3f999/j5IlS6JAgQLo1q0bbt++nX4bq9WKadOmoUyZMvD09ETx4sXx/vvvp3///Pnz6NKlC/z9/REQEIAOHTogOjo6298V6YynJ9CsGfDcc7KT6Je/P1CiBKCTD2zIgbToyXJxEe2nRAn1jkFkFLaeLHd3QMW9XjNlex6adKVjc/5UsuXPn/WpU6eMtw0Kyvq2Tz2V4aaW8HD4FysGFz+/jLfLhe+++w4eHh7Ytm0bZs6ciZs3b6J58+aoWbMm9uzZgz///BOXL19Gly5dsnyMlJQUvPfeezh48CBWrFiBs2fPphciYWFh+OWXXwAAkZGRuHTpEj777LOHHqNnz57YtWsXTp06lX7d0aNHcejQIfTo0QMAsHDhQowbNw7vv/8+jh8/jg8++ABjx47Fd999l2W2N998E1u2bMGvv/6KtWvXYvPmzdi3b1+Wt9+9ezdat26NLl26pGfN7DoA6Ny5M65cuYI//vgDe/fuRa1atfDkk08iNjY2/fGioqLwyy+/YNmyZThw4IDd9zt16hRWrFiBlStXYuXKldiyZQumTJmS/v3Ro0djypQpGDt2LI4dO4ZFixYhODg4/e8REREBX19f/PXXX9i2bRvy58+P5557DskPflJFZHTDhgFnzwLvvSc7CTmaFkWWr69oP2fPsreYyPb+QMaIm1OnxPPw3vsYs2G/oJMqW7Yspk2blv71pEmTULNmTXzwwQfp182dOxdhYWE4efIkypUr99Bj9OvXL/1yeHg4Pv/8c9StWxfx8fHInz9/+rDAoKCgLBeNqFy5MqpXr45FixZh7NixAERRVb9+fZQpUwYAMH78eHz00Ufo2LEjAKBUqVI4duwYZs2ahd69ez/0mPHx8fj222/xww8/4MknnwQgispixYpl+fsoXLgwPD094e3tjZAHNsH873V///03du3ahStXrsDz3j/n6dOnY8WKFVi6dCkGDRoEQAwRXLBgQfqQRHvvZ7VaMX/+fPj6+gIAXnjhBWzYsAHvv/8+bt++jc8++wxffvll+s9dunRpNG7cGACwePFiWK1WzJkzB5Z7n0bNnTsXAQEB2Lx5M1q3bp3lz086snevWOmpevX7G6YSOQvOySLSlswiy+RYZKkhPj7r7/33H4dtP5zM/Kf7VDl9Grfi4uDn55fnTWRr166d4euDBw9i06ZNyJ9Jz9ipU6cyLbL27t2Ld999FwcPHsSNGzdgvTeWPjo6GpUqVbI7S8+ePTF37lyMHTsWiqLgxx9/xPDhwwGIYX+nTp1C//79MXDgwPT7pKamZrkQxalTp5CcnJxhGGJAQADKly9vd6asHDx4EPHx8ShUqFCG6+/cuZOhN65EiRIZ5nzZe7+SJUumF1gAEBoamj4E8/jx40hKSkovHDPLFhUVleH+AHD37t0MxyCdW7UKGD8eGDSIRRY5HxZZRNp6cLggORSLLDU8sGKdw2+blibO81hk5fvPcePj49GuXTtMnTr1oduGhoY+dF1CQgIiIiIQERGBhQsXonDhwoiOjkZERESOh6Z1794db731Fvbt24c7d+7g/Pnz6Nq1a3ouAPjmm28emrvlKuGfcHx8PEJDQ7F58+aHvvdgb11mv1977vffVRctFkt68ert7f3IbLVr18bChQvTr7NarYiPj0epUqWyvS/pCPfIerRvvgFmzxbz1t56S3YacqTp08US7pl8sOcw8fFi3iMglornJ/jkzAIDgXHjgEe8x1DFY4+J97WrV5vyfx6LLAIA1KpVC7/88gtKliwJNztWlzlx4gSuX7+OKVOmICwsDACwZ8+eDLexraiXZvtkMgvFihVDkyZNsHDhQty5cwctW7ZE0L39gYKDg1GkSBGcPn0aPXv2tOtnKV26NNzd3fHPP/+gePHiAIAbN27g5MmTaNKkiV2PkZVatWohJiYGbm5uKFmypOr3e1DZsmXh7e2NDRs2YMCAAZkeY/HixQgKCoKfnx8AUWTF3ev9JIOw9W5zj6ysXbwohlTWrSs7CTla5crqH8O2+SoAKIr6xyPSs9BQYMIEOcfeuxdITc24jLyJcOELAgAMGTIEsbGx6N69O3bv3o1Tp05hzZo16Nu3b6ZFUvHixeHh4YEvvvgCp0+fxm+//Yb3/jMJvUSJErBYLFi5ciWuXr2a3iuVmZ49e+Knn37CkiVLHiqmJkyYgMmTJ+Pzzz/HyZMncfjwYcybNw8ff/xxpo+VP39+9O/fH2+++SY2btyII0eOoE+fPnkeYgkALVq0QIMGDdChQwesXbsWZ8+exfbt2/H2228/VGQ64n4P8vLywltvvYWRI0diwYIFOHXqFHbu3Ilvv/0WgPgdBgYGon379vjrr79w5swZbN68GW+99Rb+97//5flnJ43YiiwTfqpHRETkLFhkEQCgSJEi2LZtG9LS0tCqVStUrVoVw4YNg7+/f6bFSeHChTF//nwsWbIElSpVwpQpUzB9+vQMtylatCgmTJiAUaNGITg4GEOHDs3y+M899xyuX7+OxMREdOjQIcP3BgwYgDlz5mDevHmoWrUqmjRpgvnz52c7BO7DDz/E448/jnbt2qFFixZo3LjxQ/PQcsNisWD16tV44okn0LdvX5QrVw7dunXDuXPn0lf5c+T9/mvs2LEYMWIExo0bh4oVK6Jr167pc7Z8fHywdetWFC9eHB07dkTFihUxcOBAJCUlsSfLSGzDBdmTRc7o55+Bzz8Xq44Rkfpu3waOHQO43YvDWRSFfeXZiYuLQ4ECBXDr1q2H3qjevXsXZ86cybAXkpoeHPrliF4ZMr9HtRmt2zDZIShIFFqHDgFVq2p++JSUFKxevRpt2rR5aI6gbkyYALz7LvDyy8Aj9swj9Tm0zTRsCOzYASxfDvznAzeHiYsDbAsn3b3LZdwlMMTrjLNYvRpo2xaoVUsM39OSu7sYLnjhAlCkSLY31VObya42eBDfqRMR6UVaGnD9urjM4YLkjLi6IJG2bPOhuACMw3HhCyIiPVm/XvRkBQbKTkKkPRZZRNqyrQjNHkWHY5FFRKQXrq73l5amrPn4iCI0k339yOC0KLIsFn6IQWQjsyercGFxfItF+2NrgEUWEREZy5tvihOZjxZFlq/v/QVmiJydrSdLRpF18aL2x9QQiywH4NohZFRsuzpz9Cjw119ApUrAE0/ITkOkPQ4XJNIW52Sphgtf5IFtdZPExETJSYhyx9Z2Za/UQ/ds2iRWzPvsM9lJiORgkUWkLc7JUg17svLA1dUV/v7+GfYpsqg4rtRqtSI5ORl3797lEu5kl6zajKIoSExMxJUrV+Dv7w9XvqHRB+6RZZ/588WpfXvg9ddlpyFH+vZbsW9PlSrqHSMxEWjTRlxeu5af4JNzq1EDGDFCypYhaNFCLOG+ZIkpV9RlkZVHISEhAJBeaKlJURTcuXMH3t7eqhZzZB6PajP+/v7pbZh0wPY6wiIre+fOAVu2iGGVZC6NGql/jLQ00X4AwGpV/3hEetaokTbPu8xs3SqGK9p600yGRVYeWSwWhIaGIigoCCm2ca0qSUlJwdatW/HEE09weBfZJbs24+7uzh4svbH1ZJnwEz0iIiJnwiLLQVxdXVV/w+rq6orU1FR4eXmxyCK7sM0YDHuyyNktXAjcvQt06AAUKiQ7DZH5xcaKIbr+/kCBArLTmAon9hAR6QWLLHJ2b7wBDBgA/O9/spMQOYcPPwRKlgQmTJCdxHRYZBER6YVtz5AiReTmIJLFtrogF3ci0gZXF1QNhwsSEemBogCrVolCq3hx2WmI5OAS7kTa4j5ZqmGRRUSkBxYL8PjjslMYg7s74OPDT17NSKsiy8dHnHNDdnJ2Mnuy8uUz7cqCAIssIiIymjFjxInMR4siy9cXSEhQ7/GJjMRW5MjoybpxQ/tjaohFFhGRHhw8CGzfDlSrJm/PEiLZOFyQSFu24YIcGeBwnFlKRKQHa9cCgwcDX38tOwmRPCyyiLQlsyfL5NiTRUSkB1xZ0H6LFon9lNq0AYYMkZ2GHOnnn4HUVCAwUL1j3LkDPPecuLxsGeDpqd6xiPSuVSsgIACoWlX7Y7dvL57v332n7nNeEhZZRER6wCLLflFRwOrVXIXRjNq3V/8YaWmi/QCA1ar+8Yj0rH9/cZLhzz9FT9rdu3KOrzIOFyQi0gNbkVW0qNwcRERElGfsySIi0gP2ZJGzs1qBH38UGxF36sQ5IkRauH5dnPv5cfELB2NPFhGRbIrCIosoJQV4/nmgRw8xb4qI1PfMM2I+1MqVspOYDossIiLZbt68PyY9NFRqFCJpbCsLAqI3i4jUx9UFVcPhgkREsuXLB/z1F3D5MuDlJTsNkRwPFllcwp1IG7Z9slhkORyLLCIi2Tw8gMaNZacwHkWRnYAcSUaRxTZEzs7WkyVzPpZJn4cssoiIyFjGjRMnMpcHl1NXs8jKn9+0b+qIckxmT1ZSkvbH1BCLLCIi2bZsAY4eBR57DKhVS3YaIjk4XJBIe3royTIpziwlIpJtyRJgyBDgl19kJyGSx1ZkWSziRETq48IXqmFPFhGRbFy+PWeWLAF+/hlo2RIYNEh2GnKUAgWAH35QfyjfnTtAr17i8g8/AJ6e6h6PSM+6dAFiY4FChbQ/do8eYrji11+LZeRNxlA9WVu3bkW7du1QpEgRWCwWrFixItvbb968GRaL5aFTTEyMNoGJiOxhK7KKFpWbwyiOHweWLgX27ZOdhBzJ2xvo2VPslaWmtDTRfpYuzThEkcgZffYZ8P33QLFi2h972TLxPDTpvniGKrISEhJQvXp1fPXVVzm6X2RkJC5dupR+CgoKUikhEVEusCeLiIjIVAw1XPCpp57CU089leP7BQUFwd/f367bJiUlIemB1U7i4uIAACkpKUixrcAiie34snOQcbDNGIDVCrdLl2ABkFK48P2VniQxQptxSUuDK4A0qxVWHed0Fg5rM/HxsKxfD3h5QWnd2gHJspCSAvf0iynSn3POyAivM04jLk7Mx/L01HwupBsg/vfZ8TzUU5uxN4OhiqzcqlGjBpKSklClShW8++67aNSoUZa3nTx5MiZMmPDQ9WvXroWPj4+aMe22bt062RHIYNhm9Mvj5k08lZoKxWLBH/v2QTl0SHYkAPpuM+X+/RcVAURHR+PQ6tWy49A9eW0z+S9cwJNDhiA5Xz78sXChg1I9zPXOHTx97/KaNWuQxjlZ0uj5dcYppKWhfadOAIDVCxYgxc9P08M/bbXCFcDGjRtxt3Bhu+6jhzaTmJho1+0simLMzSIsFguWL1+ODh06ZHmbyMhIbN68GXXq1EFSUhLmzJmD77//Hv/88w9qZbFMcmY9WWFhYbh27Rr8NG58/5WSkoJ169ahZcuWcOdSm2QHthkDOHAA7vXqQQkORur587LTGKLNuEyaBNeJE5E2cCCsORw+To7nsDZz7Bjca9SAUqgQUi9dclzA/4qPh3tAAAAg5eZNQCcfoDoTI7zOOIW7d+F+771tyvXrgK+vpod38/WFJSkJKadOAWFh2d5WT20mLi4OgYGBuHXrVra1gal7ssqXL4/y5cunf92wYUOcOnUKn3zyCb7//vtM7+Pp6QnPTD7Vcnd3l/5HtdFTFjIGthkdq1QJ+PtvWBISdPU30nWbubeHkquLC1z1mtEJ5bnNuIhp4hZXV3Xb3gOP7e7uzv2BJNL164wzeGDBCXcfH2nPhZw8D/XQZuw9vqmLrMzUq1cPf//9t+wYRERCvnxANkOYiZyGbaU/bkRMpA3bHlkAP2xQgdMVWQcOHEBoaKjsGERElFujRgEjRgBuTvcvzNy0KrLy5QPi48Vlb291j0WkZ7YFHFxc5Hy4cf26ODfp89BQ/6Hi4+MRFRWV/vWZM2dw4MABBAQEoHjx4hg9ejQuXLiABQsWAAA+/fRTlCpVCpUrV8bdu3cxZ84cbNy4EWvXrpX1IxARZfTrr8D//gc0bw5UrCg7jTF4eIgTmYtWRZbFIgotImdn68mS9Xpq8uehoYqsPXv2oFmzZulfDx8+HADQu3dvzJ8/H5cuXUJ0dHT695OTkzFixAhcuHABPj4+qFatGtavX5/hMYiIpJozB1i5Epg9m0UWOTdbkeViqC08iYzL1pPFD61UYagiq2nTpshuMcT58+dn+HrkyJEYOXKkyqmIiPKAGxHn3K+/AsuXA82aAb17y05DjhIeDsyaBeTPr+5xkpKAF18Ul2fNEvsDETkjb2+ga1d5z4GBA0Wh99FHQKFCcjKoyFBFFhGR6bDIyrlDh4DvvgO8vFhkmUlwMDBokPrHSU0V7QcAvvqKRRY5r6JFgZ9+knf8H34A7t4FJk40ZZHFPnkiIllSU4HLl8VlFllERESmwZ4sIiJZLl8GFEVM9Ldzt3si07p+Hdi7FyhQAKhfX3YaIvOzWu//DyKHY08WEZEsFy6I89BQTvYn2rMHiIgAXnpJdhIi57Bli9gKo2pV2UlMif/ViYhk4Xwsovu4GTGRtmyrC3LPQVXwt0pEJEuzZsC2bbJTEOkDiywibdn2yXJ3l5vDpFhkERHJUqAA0LCh7BRE+sAii0hbsjcjNjkWWUREZCzDh4t5O15espOQI2lVZPn4AFeu3L9M5KxswwVl9WRFR4vzgAA5x1cZiywiIlnmzQMSEoB27YASJWSnMY58+cSJzEWrIsti4WqeRID8niyTPw9ZZBERyfLJJ8Dhw0C5ciyyiDhckEhbnJOlKhZZRESycHXB3PnjD2DlSqBRI6BHD9lpyFFq1hQfPBQrpu5xkpOB118Xlz/+GPD0VPd4RHpVtCjQti1Qt66c4w8bJoYsTpwIFCokJ4OKWGQREcmQlCQ2XwVYZOXU3r3AjBlAaiqLLDOpUEGc1JaaKtoPAEybxiKLnFfr1uIky+zZwJ07wMiRpiyyuE8WEZEMly6Jc09PoGBBuVmIiIjIodiTRUQkw4NDBS0WuVmI9CAmBjh1CggMBMqXl52GiChP2JNFRCSDrcgqWlRuDiK9WLECaNwYGD1adhIi5zBpEuDtfX+OIjkUiywiIhm46AVRRlxdkEhbd++Kk9UqO4kpcbggEZEMPXuKFZ24GSqRwCKLSFtcwl1VLLKIiGQoVAho0EB2CiL9YJFFpC3ZmxGbHIssIiIylqFDgeefB/Lnl52EHEmrIsvLCzhzRlz29lb3WER6lpIizmUVWcePA4pi2rnJLLKIiGT46CPxj61bN6BwYdlpjMXfX5zIXGxFlovK08VdXICSJdU9BpERyB4uWKKEnONqhEUWEZEMEycCcXFAq1YssogADhck0hqHC6qKRRYRkdbi40WBBXB1wdxYvx5YswaoXx947jnZachRmjQRS0pXr67ucVJSgDFjxOVJk8SG4ETOqEIFoGlTeT1KY8aI5+Po0UBAgJwMKmKRRUSktUuXxHn+/ICvr9wsRrRzJzB9OjBwIIssM2nUSJzUlpoq2g8AjB/PIouc1+jRcvel++wzIDERGDzYlEUW98kiItIa98giIiIyNfZkERFpjUUW0cMuXgSuXAGCgvjcICLDY08WEZHWLlwQ53wjSXTf558DNWveH8pHROp65hkgMBBYvlx2ElNikUVEpDX2ZBE9jKsLEmnrxg3g+vX7zz1yKA4XJCLS2qhRQOfO4hNEIhJYZBFpS/ZmxCbHIouISGtBQeJERPexyCLSFvfJUhWLLCIiMpYXXwSefRYoWFB2EnIkrYosT0/gyBFx2dtb3WMR6ZmtyHJ3l3P83bsBRQGKFpVzfJWxyCIi0pKiAO+8AwQHAwMGAD4+shMZT+HC4kTmolWR5eICVK6s7jGIjED2cMFKleQcVyMssoiItHTzJvDBB+LywIFSoxDpCocLEmmLwwVVxSKLiEhLtpUFCxbkUKXc2roV2LgRqF0baNdOdhpylDZtxGIwjRqpe5zUVGDSJHF59GgxfJDIGVWvLp5zfn5yjv/BB6LQe+01Uw7/ZpFFRKQlLt+ed3/9BUyYIHoCWWSZR4cO4qS21FTRfgBgxAgWWeS8VqyQe/wPPgASEoBevUxZZHGfLCIiLbHIIiIiMj32ZBERaYlFFlHmLl4E4uPF9gb+/rLTEBHlCXuyiIi0xCKLKHOvvw6ULw98/73sJETOoXhxoGRJICZGdhJTYk8WEZGWWGQRZY6rCxJpR1GA8+fFZRf2uaiBv1UiIi19+SWwY4fYTJeI7rNaxTnf8BGpz7ZHFsAl3FXCniwiIi2FhooTEWVke9Pn7i43B5EzsO2RBbDIUgmLLCIiMpa+fYFWrYDChWUnIUfSamNUDw9g1y5x2cdH3WMR6dWDRZasDza2bBE92CYdPs8ii4hIK1evAtOmAWXKAC++KDuNcRUpYtp/yk5Nq54sFxegbl11j0Gkd3fvinNXV3lFVu3aco6rEQ58JiLSysmTwPTpwNSpspMQ6Q+HCxJpx1ZkeXnJzWFi7MkiItLK2bPivEQJqTEMb8cO4O+/gWrVgIgI2WnIUTp3BmrWBMqWVfc4qanAJ5+Iy6++Cnh6qns8Ij2yWIAaNeQWWZ9+Kj5cGTjQlHvjscgiItLKuXPinEVW3mzcCLzzDjBgAIssM3n1VW2Ok5oKjBwpLr/4Iossck6lSgH798vNMHas2IC8Y0dTFlkcLkhEpBUWWURERE7BUEXW1q1b0a5dOxQpUgQWiwUrVqx45H02b96MWrVqwdPTE2XKlMH8+fNVz0lElCkWWURZu3hRnB5c9YyIyKAMVWQlJCSgevXq+Oqrr+y6/ZkzZ9C2bVs0a9YMBw4cwLBhwzBgwACsWbNG5aRERJlgkUWUtcaNgaJFgb17ZSchMr/168VKtz16yE5iWoaak/XUU0/hqaeesvv2M2fORKlSpfDRRx8BACpWrIi///4bn3zyCSI4jp+ItKQoLLKIsmNbXZAboxKpLzYWOHVKfLBBqjBUkZVTO3bsQIsWLTJcFxERgWHDhmV5n6SkJCQlJaV/HRcXBwBISUlBiu0fgCS248vOQcbBNqMjigIcOwZLdDSUIkXuv6HUGSO0GZe0NLgCsFqtSNNxTmfhqDbjlpwMC4AU8WB5zpWllBS4p19M0e1z0cyM8Dpjdpb4eLgBsHp5SXsddQPEc96O56Ge2oy9GUxdZMXExCA4ODjDdcHBwYiLi8OdO3fg7e390H0mT56MCRMmPHT92rVr4aOTneHXrVsnOwIZDNuMzhjg76HnNlPu5ElUBBB9/jwOrl4tOw7dk9c281RiIjwAbN2xA/H/+59jQmXCJTkZ7e5dXrt2LVJ18r/dGen5dcbsSuzZgxoALt+6hV2SXkfbpqbCDWL9hMTISLvuo4c2k5iYaNftTF1k5cbo0aMxfPjw9K/j4uIQFhaGVq1awc/PT2IyUTmvW7cOLVu2hDs3ayQ7sM1QThmizVSujNQ+fVA0JARFy5eXncbpOarN2N6QPNGiBVC6tGPCZcZqReq9N2qtGjUC3PhWSGuGeJ0xOZdTpwAAwSVKoE2bNnJCrF6N1LQ0NK1XD8ik4+NBemoztlFuj2LqV5aQkBBcvnw5w3WXL1+Gn59fpr1YAODp6QnPTPbMcHd3l/5HtdFTFjIGthkdWLUK2LIFaNECaNVKdppH0nWbKVNGnEhX8txm7g3BcffxAdRue/+ZSkBy6Pp1xuzureLpki8fXGT9DZo1y/Fd9NBm7D2+oVYXzKkGDRpgw4YNGa5bt24dGjRoICkRETmtNWuADz8UG+kS0cNs8xz4pptIfXfvinMvL7k5TMxQPVnx8fGIiopK//rMmTM4cOAAAgICULx4cYwePRoXLlzAggULAAAvvfQSvvzyS4wcORL9+vXDxo0b8fPPP2PVqlWyfgQiclZcWdBx9u4Fdu4EKlXK1SehpEOKAgwcKAqt/PnVPVZaGjBzprg8YACQyegVItMrUEAMyw0JkZdh9mzxnO/ZE/D3l5dDJYYqsvbs2YNmD/xDtc2d6t27N+bPn49Lly4hOjo6/fulSpXCqlWr8Prrr+Ozzz5DsWLFMGfOHC7fTkTaY5HlOGvWAG+/Ld4gs8gyB4vlfuGjttRUYOhQcfn551lkkXN6/XVxkumNN4Dbt4GICBZZsjVt2hSKomT5/fnz52d6n/3796uYiojIDiyyiIiInIap52QREelCXBxw86a4zCKL6GFWK3DtGnDrlhg6SERkcCyyiIjUZuvFKlRI/fkmREZ05QpQuDBQsKAYOkhE6ho2DKhZE1i6VHYS02KRRUSkNg4VJMoeVxYk0lZUFHDggOg9JlUYak4WEZEhPfUU8L//AfHxspMQ6dO9PXvg4SE3B5GzuHNHnD9iE2DKPRZZRERqc3UFihaVnYJIv9iTRaQt7pOlOhZZRERkLF26ANWrA2FhspOQo2hZZLm7AytXiss+Puofj0iP9NCTtWSJ2FIhNFReBhWxyCIiUtvbb4s3kS+9BISHy05jfGXKiBOZh5bDBV1cgLZt1T8OkZ7ZiiyZPVkm37eWRRYRkdq+/Ra4fBno1k12EiJ94nBBIm3ZhgtyTpZqWGQREanp7l1RYAFcXdBRDh0C9u0DypYFGjWSnYYcISAAeP55IDBQ/WOlpQHffy8u9+jBxTbIORUuLHqzZG4rsmiR6MXu2BHw85OXQyUssoiI1BQdLc7z5RNvJCnvVq0CxowB+vdnkWUW5crdL3zUlpYG9O0rLj/7LIssck67dslOAAweLJaQb9TIlEUW98kiIlKTbY+skiW5ySoREZGTYJFFRKQmbkRM9GipqWLoUlqa7CRERA7BIouISE0ssoge7ddfxXLqTZrITkJkfnfvAnXrAo8/fn+VQXI4zskiIlKTbU4WiyyirHF1QSLtJCYCe/aIy3zOqYY9WUREapo7Fzh/XizSQESZY5FFpB1b75WrK+DG/ha18DdLRKQmV1egWDHZKYj0zVZkcaU/IvVxjyxNsMgiIiJj6dABKFMGKFVKdhJylORkca5FT5abG/Dzz+Iy32SSM7L1ZMlu//Pniw9YQkLk5lAJiywiIrVcugQMGyb2AHrvPdlpzKNiRXEi89ByuKCLC9C5s/rHIdIrW0+Wl5fcHB06yD2+yjgni4hILf/+Kz4x//FH2UmI9I3DBYm0o5eeLJNjTxYRkVoe3IiYHOf4ceDIEfF7rVtXdhpyhNKlgWef1ebvabUCv/wiLrdvz8KOnI+iAIUKAQEBcnOsWCE+YGndGvD1lZtFBSyyiIjUwj2y1LFiBTBmDNCvH4sss2jfXpy0kJYGdOkiLt+4wSKLnM8TTwDXrslOAfTtC9y8CURGmrLI4nBBIiK1sMgiIiJySiyyiIjUcvasOGeRRZQ9RZGdgIjIoVhkERGphT1ZRPZ54w2xp9yYMbKTEJnf8uVAs2bApEmyk5ga52QREalBUYCYGHGZRRZR9lJSxIIULvzsl0h1Z88CmzcDRYrITmJqLLKIiNRgsYhJ9ZcuAaGhstMQ6ZuW+2QROTu97JNlciyyiIjU4uoKFCsmOwWR/iUni3Ou9EekPu6TpQkWWUREZCxt24rewbJlZSchR9GyJ8vVFZg3T1zmm0xyRnrpyfrqK/EBS3Cw3BwqYZFFRKSGRYuA334Te/907y47jblUqyZOZB5aFlkuLkCfPuofh0iv9NKT1aOH3OOrjDNMiYjUsH07sHgxcPiw7CRE+mcrsjhckEh9tiJLdk+WybEni4hIDVy+XT1RUUBkJBAWxh4ts6heHbh9GyheXP1jWa3AH3+Iy61acbENcj4uLoCnp/yerLVrxQcsTZoA+fPLzaICFllERGrgRsTqWboUGD0a6NcP+PZb2WnIEcaO1e5YVivw9NPicmwsULCgdscm0oPZs8VJtm7dxCq8J04A5cvLTuNwHC5IRORoinK/J6tkSalRiIiISHsssoiIHO3mTTH0CdBm+BMRERHpCossIiJHs/ViFS4M+PjIzUJkBM2aAX5+wOrVspMQmd9rrwHt2gG7dslOYmossoiIHO3KFcDNjfOxiOx1+/b93l8iUtdffwErV4o5iaQaLnxBRORorVqJzR5v3ZKdhMgYtNwni8jZ6WWfLJNjTxYRkRpcXYGAANkpiIyBRRaRdrhPlibYk0VERMbSsiXg6wtUrCg7CTlKcrI412IzYhcX4MsvxWV+kk/O6O5dcS67/U+bBiQlAUFBcnOohEUWEZGj9esHJCYC48YBlSrJTmM+tWuLE5mHlj1ZLi7AkCHqH4dIr/TSkzVggNzjq4zDBYmIHO3334HFi+9/Ok9E2eNwQSLt6KUny+TYk0VE5EgJCcC1a+IyVxdUR3Q0cPo0EBICVKggOw05Qv36wNWrYhl3tSkKsGWLuNyoEQs7ci5WqzgB8ousv/8GUlOBevVMud0JiywiIkc6fVqcFywoTuR4P/4IjBoF9O0LzJ0rOw05wvLl2h0rLU3sywUA169zgRpyLi4uouc4NVUs0CRT+/ZiGfnjx035gRmLLCIiR/r3X3FepozcHERERFlxYwmgNs7JIiJypKgocV62rNwcREREJA2LLCIiR2JPFlHOKAoQGAiEhorhe0SkngsXgGefBfr3l53E9NhXSETkSHfuiGEY7Mkisk9Kyv3iSvYcESKzi40FVqww7d5UemK4nqyvvvoKJUuWhJeXF+rXr49du3Zledv58+fDYrFkOHnJ3hOAiMzthx9EodW5s+wkRMbw4FYHXOmPSF162SPLCRiqyFq8eDGGDx+O8ePHY9++fahevToiIiJw5cqVLO/j5+eHS5cupZ/OnTunYWIickpuboCnp+wURMZg2yMLADw85OUgcgbcI0szhhou+PHHH2PgwIHo27cvAGDmzJlYtWoV5s6di1GjRmV6H4vFgpCQEC1jEhGRmpo2BaZNA6pUkZ2EHOHBIkuLFc9cXET7AfhGk5yPrSdLD23/3XdF0Ve4sOwkqjBMkZWcnIy9e/di9OjR6de5uLigRYsW2LFjR5b3i4+PR4kSJWC1WlGrVi188MEHqFy5cpa3T0pKQlJSUvrXcXFxAICUlBSkPPiPQALb8WXnIONgm9GW5Y8/4DJpEpSICFjHjZMdJ1cM0WZq1RInIOMbdJIiz20mIQHuABQ3N6SmpjouWHaGDbt/mW1Ic4Z4nTEpS3w83ABYPT2RJvv3/9JL9y8/Ioue2oy9GQxTZF27dg1paWkIDg7OcH1wcDBOnDiR6X3Kly+PuXPnolq1arh16xamT5+Ohg0b4ujRoyhWrFim95k8eTImTJjw0PVr166Fj052o163bp3sCGQwbDPaKLNsGSrv3o3z3t7Yt3q17Dh5wjZDOZXbNuNz+TJaAkhzccFqgz9vKGf4OqO9ojt2oA6A64mJ2G7A55se2kxiYqJdtzNMkZUbDRo0QIMGDdK/btiwISpWrIhZs2bhvffey/Q+o0ePxvDhw9O/jouLQ1hYGFq1agU/Pz/VM2cnJSUF69atQ8uWLeHOycFkB7YZbbn++isAoMgTTyCkTRvJaXLHEG3m0iVYLlyAUqgQUKqU7DROL89t5vx5WOvUgYuHB9po8bxRFFj27hUXa9TgpqwSGOJ1xqQs164BAAoVLarN8y07+/fDkpYGpXLlRw5f1FObsY1yexTDvLIEBgbC1dUVly9fznD95cuX7Z5z5e7ujpo1ayLKtlloJjw9PeGZyYR1d3d36X9UGz1lIWNgm9HI6dMAANcKFeBq8N+3rtvMjz8Co0YBffsCc+fKTkP35LrNhIcDu3cD0Gg1rrQ0oGFDcfnaNaBQIS2OSpnQ9euMWfXrB/TsCZe0NLjI/t23aSO2bzh2DKhY0a676KHN2Ht8w6wu6OHhgdq1a2PDhg3p11mtVmzYsCFDb1V20tLScPjwYYSGhqoVk4icGTciJiIiPbNYxPLt+fLJTmJ6hunJAoDhw4ejd+/eqFOnDurVq4dPP/0UCQkJ6asN9urVC0WLFsXkyZMBABMnTsRjjz2GMmXK4ObNm/jwww9x7tw5DBgwQOaPQURmlJAAXLwoLnMjYiIiIqdmqCKra9euuHr1KsaNG4eYmBjUqFEDf/75Z/piGNHR0XBxud85d+PGDQwcOBAxMTEoWLAgateuje3bt6NSpUqyfgQiMqtTp8R5QIA4EZF99uwBOnUSH06sXy87DZG5LV4MrFwJPPUU0KOH7DSmZqgiCwCGDh2KoUOHZvq9zZs3Z/j6k08+wSeffKJBKiJyenFxQOnSAPflI8qZ+HggOprDl4i0sGcP8MMP4n8ViyxVGa7IIiLSpcaNgagowGqVnYTIWJKTxbmHh9wcRM7g7l1x7uUlN4cTMMzCF0REhuDCl1WiHLFt7Cl7pTMiZ3Dnjjh/xJLplHfsySIiImNp1AgYPx6oUUN2EnIErYssi0W0H4BvNMn56Kkna+RIIDERCAyUnUQVLLKIiByhenUxp2ThQm6Qq7bGjcWJzEHr4YIuLsC772pzLCK90VNP1siRshOoikUWEVFeJSQAhw6Jy/7+UqMQGQ6HCxJpx1Zk6aEny+RYZBER5VVUlDgPCAAKFpSbxRlcuwZcviwK2qJFZaehvPL1BSpWBEqW1OZ4igIcOyYuly8PuPGtEDkR23BBPfRknTgBpKWJlXlNWPRxhjYRUV7ZiixuQqyNuXOBKlWAd96RnYQc4ZlnRNHzzTfaHE9RRPupUgW4dUubYxLpxcqVwNWrQPv2spMAjz8unoenT8tOogp+fENElFf//ivOy5SRm4OIiCg7Pj7iRKpjTxYRUV6xJ4uIiIgewCKLiCivbD1ZLLKIcm7OHKBSJWDsWNlJiMzvjTeAl18GoqNlJzE9FllERHlVrJiYtM8iiyjnLl8Gjh8HYmJkJyEyv++/B2bO5HxEDXBOFhFRXi1cKDsBkXFxCXci7ehpnyyTY08WERERyWPbjJhFFpH6uE+WZtiTRUSUF4oCWCyyUziXunXFvII6dWQnIUfQuifLYhHtB+AbTXIuqaniBOijJ2vIECAhQewxaUIssoiI8mLqVODTT8U/C07c10azZuJE5mArsjw8tDmexQJ8+KE2xyLSE9tGxIA+iqx335WdQFUcLkhElBf//ism7lutspMQGROHCxJp48Eii724qmNPFhFRXnD5du3dugXcuAHkzw8EBspOQ3lVsCBQvLh2Q4YUBTh3TlwOCwNcXbU5LpFstvlYHh6Aiw76WaKjxQeURYpo15OtIR38homIDIwbEWtv1iygVKn782rI2N5/XxQ9r72m3TFLlRKnGze0OyaRbEWKiK0STp6UnUSoU0c8D20fVpoMe7KIiHIrPh64dElcLlNGbhYiIqLsuLoCwcGyUzgN9mQREeWWrRerUCEx5ImIiIgILLKIiHKPQwWJ8m74cKBePeDXX2UnITK3yEjglVeA6dNlJ3EKLLKIiHIrXz6geXOgYUPZSYiMKzIS2L0biI2VnYTI3M6eBb78Eli4UHYSp5DrOVmpqamYNWsWNm/ejLS0NDRq1AhDhgyBF5eEJCJn8dRT4kREuaf1ZsREzsq2uqAe9shyArkusl599VWcPHkSHTt2REpKChYsWIA9e/bgxx9/dGQ+IiIiMjOtNyMmcla2fbLYIaIJu4us5cuX49lnn03/eu3atYiMjITrvf0lIiIi8Nhjjzk+IRGRXiUmAj4+slM4n5o1gcGDgfr1ZSchR5CxGfHgweKcbzbJmeitJ6tfP+D2bdMuHGV3kTV37lx89913mDFjBooUKYJatWrhpZdeQqdOnZCSkoJvvvkGdevWVTMrEZF+3L4N+PmJfUf+/ZfFlpZathQnMgethwtaLMBXX2lzLCI90VtP1pQpshOoyu6FL37//Xd0794dTZs2xRdffIHZs2fDz88Pb7/9NsaOHYuwsDAsWrRIzaxERPpx6pQ4T05mgUWUFxwuSKQNvfVkmVyO5mR17doVERERGDlyJCIiIjBz5kx89NFHamUjItIv2w713IRYe4mJQEIC4OkpehPJ2AoUEHvNafnG7+pVcV6oEODChZbJSdiKLL30ZF27BiiKGC7olutlInQrx68s/v7+mD17Nj788EP06tULb775Ju7auh+JiJwF98iS56uvgKAg4NVXZSchR9i8WbzZevxx7Y4ZFCRO169rd0wi2YYOFf+73ntPdhKhcmXxPDxxQnYSVdhdZEVHR6NLly6oWrUqevbsibJly2Lv3r3w8fFB9erV8ccff6iZk4hIX2w9WSyyiIjICAoUAEqXBkJDZSdxCnYXWb169YKLiws+/PBDBAUF4cUXX4SHhwcmTJiAFStWYPLkyejSpYuaWYmI9IPDBYmIiCgLdg+A3LNnDw4ePIjSpUsjIiICpUqVSv9exYoVsXXrVsyePVuVkEREusPhgkSO0a6dmGP37bfAA+8tiMjBfvoJOHgQaNsWaNxYdhrTs7vIql27NsaNG4fevXtj/fr1qFq16kO3GTRokEPDERHpUloa8PTTojeLPVlEefP338DNm/f3yyIidfz2G/Djj0BwMIssDdg9XHDBggVISkrC66+/jgsXLmDWrFlq5iIi0i9XV+Cbb8SEfX9/2WmIjE3GZsREzkhv+2SZnN09WSVKlMDSpUvVzEJERETORuvNiImcFffJ0pT5FqUnIlJbTIxYpYn/qOSoXBno3Rto1Eh2EsorRZGzGXHv3uLc01O7YxLJprd9srp2BeLiTDsihEUWEVFODRoErFwJzJt3/80aaadNG3Ei40tLu39Zy56s+fO1OxaRXtiGC+rlA8LPP5edQFXc5pyIKKeOHhWfwBcvLjsJkbHZerEADhckUhuHC2rKriLr0KFDsFqtamchItK/xETgzBlxuXJluVmcVUqKWPI7KUl2EsqrlBTA11cMX9KyyEpIECdF0e6YRLLpbeGLxETxPDRpjWFXkVWzZk1cu3YNABAeHo7r16+rGoqISLdOnBBvzAIDgaAg2Wmc02efAfnzi2GbZGx+fmJOxp072r7xy59fnK5e1e6YRLKtXg3s3w/UrCk7iRAeLp6HR4/KTqIKu+Zk+fv748yZMwgKCsLZs2fZq0VEzsv2z4C9WEREZCSlS8tO4FTsKrI6deqEJk2aIDQ0FBaLBXXq1IGrq2umtz19+rRDAxIR6YqtyKpUSW4OIiIi0i27iqzZs2ejY8eOiIqKwquvvoqBAwfC19dX7WxERPpz7Jg4Z08WUd5duAD06yeWcF68WHYaInMbN05sW/Daa2KYHqnKriLr0KFDaNWqFVq3bo29e/fitddeY5FFRM6pfXsgIAB47DHZSYiMLy4OWLtWPKeISD2pqcB774nLL73EIksDdhVZNWvWxKVLlxAUFIQtW7YgOTlZ7VxERPrUv784EVHe2d5PaLkRMZEzsq0sCHAJd43YtbqgbeELAFz4goiIiBzDtk8W98giUpdtjyxAP0u4mxwXviAiste5c0B8PFCuHN8UylSuHPDcc0DdurKTUF7JKrKee06ce3pqe1wiWWw9WR4egItdfSzqa9cOuHlTbOVgQoZb+OKrr77Chx9+iJiYGFSvXh1ffPEF6tWrl+XtlyxZgrFjx+Ls2bMoW7Yspk6dijZt2miYmIhMY8YMYNo0YMgQ4MsvZadxXs88I05kfLKGCy5Zou3xiGSz9WTpaajgN9/ITqAqu4osAGjdujUASF34YvHixRg+fDhmzpyJ+vXr49NPP0VERAQiIyMRlMmmoNu3b0f37t0xefJkPP3001i0aBE6dOiAffv2oUqVKprnJyKDs60syOXbiRyDwwWJtGHryeJQQc3kuL9w3rx50nqxPv74YwwcOBB9+/ZFpUqVMHPmTPj4+GDu3LmZ3v6zzz5D69at8eabb6JixYp47733UKtWLXzJT6CJKDe4ETGRY6WlARYLiywitemxJ8vk7OrJ6tixI+bPnw8/Pz907Ngx29suW7bMIcH+Kzk5GXv37sXo0aPTr3NxcUGLFi2wY8eOTO+zY8cODB8+PMN1ERERWLFiRZbHSUpKQlJSUvrXcXFxAICUlBSk2D5xkyT14EEU/esvpFSvDhQtKjULGYOtzcpuu6aQkAD3ewsApZQte/8TeJMxQptx+fhjuI4aBWvPnkibN092HKeXpzbTvDmQlARYrZo+p9zvDU9MOX8eCA7W7LgkGOF1xnTKl4dlxw4oFotu/n+5FS8OS0wMUnbvBqpXz/a2emoz9mawq8gqUKAALBZL+mUZrl27hrS0NAT/58UwODgYJ06cyPQ+MTExmd4+JiYmy+NMnjwZEyZMeOj6tWvXwsfHJxfJHafJ8OGoc/o0/nF3Rwz36KEcWLdunewIhucfFYUmAJIKFMCfu3fLjqM6PbeZ0idOoAqACxcuYN/q1bLj0D16bjP/1f7e+YYNG5Dk7y8zilMzUpsxFZ28bkYkJcELwN9//424Cxfsuo8e2kxiYqJdt7OryJr3wCeF80z+qeHo0aMz9H7FxcUhLCwMrVq1gp/k1U8sixcDp0+jpqcnLFy8g+yQkpKCdevWoWXLlnDncJw8sXz/PQDAvUYNUy+eY4Q243Lvg7WiRYsixMR/C6MwQpvJypNPPsmeLAmM3GbIcdzure7ZuHFju3qy9NJmbKPcHsXuhS9kCwwMhKurKy5fvpzh+suXLyMkJCTT+4SEhOTo9gDg6ekJz0yWdHV3d5f+R027Nw/ELTISLnxRohzQQ/s1vMhIAIBLlSpO8fzTdZu5t4WIi4uLU/wtjCJXbWbTJrFSZ506wAPTAbTi7u7O+WAS6fp1xmwOHxY9WGXLAo+Y+qO1nDwP9dBm7D2+XUVWzZo104cLPsq+ffvsul1OeXh4oHbt2tiwYQM6dOgAALBardiwYQOGDh2a6X0aNGiADRs2YNiwYenXrVu3Dg0aNFAlo9qUeyuaWY4fl5yEyAm1bw/4+gL168tOQmQep08Dy5bdX8qdiNSxezcwahTQtq3uiiyzsqvIshU1AHD37l3MmDEDlSpVSi9Wdu7ciaNHj2Lw4MGqhLQZPnw4evfujTp16qBevXr49NNPkZCQgL59+wIAevXqhaJFi2Ly5MkAgNdeew1NmjTBRx99hLZt2+Knn37Cnj17MHv2bFVzqkWpWFFciIwUKzJlsSE0EamgYUNxIiLHsU0g13qfLCJnw9UFNWdXkTV+/Pj0ywMGDMCrr76K995776HbnD9/3rHp/qNr1664evUqxo0bh5iYGNSoUQN//vln+uIW0dHRcHlgF+uGDRti0aJFeOeddzBmzBiULVsWK1asMO4eWSVLIs3DA6537wJnzgBlyshORERElHu2HiwOGSNSF/fJ0lyO52QtWbIEe/bseej6559/HnXq1MlyzypHGTp0aJbDAzdv3vzQdZ07d0bnzp1VzaQZV1fcLlYM/qdPi/16WGQRaePiRWDPHqBqVaBUKdlpKDwcaNPmkROlyQBkbUbcti2gKOxBI+ehx56sFi2A2FgxFN+EclxkeXt7Y9u2bShbtmyG67dt2wYvVseqi+zWDbVr1YJbo0ayoxA5j/Xrgd69gaZNxUR9kqtjR84pMAtZwwVXrtT2eESy2YosPb1Xv7dqr1nluMgaNmwYXn75Zezbtw/16tUDAPzzzz+YO3cuxo4d6/CAlFFMvXpQ2rTh0AoiLR09Ks7vrfBJRA7C4YJE2rANF9RTT5bJ5bjIGjVqFMLDw/HZZ5/hhx9+AABUrFgR8+bNQ5cuXRwekIhIOhZZROqQNVyQyNnocbigybk8+iYP69KlC7Zt24bY2FjExsZi27ZtLLA0YklNhWXFCuCDD8QKg0SkPluRdW8bBZLss8+AfPmAAQNkJ6G8evddIDER+PBDbY+bP79oQ//ZS5PItEaMEMPde/WSneS+0qXF8/DQIdlJVGGYzYhJUCwWuL7wApCUBHTtKhooEaknPh44e1ZcZk+WPqSmijfm3FvJ+Fxd5XyynpgoFr4gchalS+vvPeOdO+K5aLXKTqKKXPVkkUSurkD58uLysWNysxA5A9vm30FBQGCg3CxERERkCCyyDEixDVlikUWkPs7HIlLPt9+K4Uu//y47CZG5/fIL8NVXwL//yk7iNFhkGZBSsaK4YHvzR0TqadkSWLQIGD5cdhIi89m2TSzjzP9nROr64gtg6FBg/37ZSZwG52QZEHuyiDRUtCjQvbvsFETmxNUFibShx32yTM6uImt4Dj7B/fjjj3MdhuyT3pN1/LiYLOjCDkkiIjIg2+IlWm9GTORsuE+W5uwqsvbb2bVosVjyFIbsFB4u/iElJgLnzgGlSslORGROCQnArFliPlarVgBf4/ShWDGgSROgQgXZSSivZPVkNWkiVhdkDxo5Cz3uk9WgAXD9uthSwYTsKrI2bdqkdg7KCTc34NdfgbAwcSIidRw7JvYWCQ4GYmJkpyGbrl3FiYxPVpHF9zXkbGw9WXoaLvjLL7ITqCrXc7KioqJw6tQpPPHEE/D29oaiKOzJ0lLr1rITEJkfNyEmUheHCxJpQ489WSaX48k8169fx5NPPoly5cqhTZs2uHTpEgCgf//+GDFihMMDEhFJw+XbidTFhS+ItKHHniyTy3GR9frrr8Pd3R3R0dHw8fFJv75r1674888/HRqOshETA0yfDkyYIDsJkXmxyNKnGTOAwoWBwYNlJ6G8+u034OpVoEMHbY8bHCza0OXL2h6XSJZffxXPt9BQ2Unuq1pVPA8PH5adRBU5Hi64du1arFmzBsWKFctwfdmyZXHu3DmHBaNHuHkTePNNIF8+YOxYrjBIpAbbNgkssvTlzh3g2jXg9m3ZSSiv8ueXM+n92jWxOq+iaH9sIhmaN5ed4GGxseK5mJoqO4kqcvzOPCEhIUMPlk1sbCw8PT0dEorsULq0GF6RkABER8tOQ2Q+8fFi9U6Ac7KIiIgoR3JcZD3++ONYsGBB+tcWiwVWqxXTpk1Ds2bNHBqOsuHuDpQvLy5zU2Iix7M9r4KDgUKF5GYhMqt33wVefhk4eVJ2EiLzsm1H8sD7d1JfjocLTps2DU8++ST27NmD5ORkjBw5EkePHkVsbCy2bdumRkbKSqVKwJEjYt5Imzay0xCZS40awJ49XLqdSE0//QRERgLduwPlyslOQ2RO164BL70kFr3o1Ut2GqeR4yKrSpUqOHnyJL788kv4+voiPj4eHTt2xJAhQxCqp8l0zsA2hIk9WUSO5+EB1K4tOwWRuXF1QSL1cWVBKXJUZKWkpKB169aYOXMm3n77bbUykb1sk/FZZBERkRGxyCJSH/fIkiJHRZa7uzsOHTqkVhbKKVtP1okTYoUkbgZN5BhpacArrwDVqgF9+wJc1EdfQkKAOnWAUqVkJ6G8krUZcZ06YnVBtxwP6CEyHr32ZFWvDhQpAmSyoJ4Z5PjV5fnnn8e3336LKVOmqJGHcqJsWWDvXqBCBRZYRI4UGQl8/bXYImHQINlp6L969hQnMj5ZPVn//KPt8Yhk0mtP1urVshOoKsdFVmpqKubOnYv169ejdu3ayJcvX4bvf/zxxw4LR4/g7g7UqiU7BZH57NsnzmvU4B50RGricEEi9em1J8vkclxkHTlyBLXuvbE/+Z8lVy3sTSEiM9i/X5zXrCk3B5HZyRouSORM9NqTZXI5LrI2bdqkRg7KrX/+AebNA8LDgZEjZachMgdbTxZ7ivVpzhxg0iTg2WeBTz6RnYby4vRpUWgVKaLtcUuXFnMvd+0CgoK0PTaR1h57DFi+HPDzk50ko8ceE9ukrFwJVKkiO43Dccan0UVHiw3m6tdnkUXkCIrCniy9i4sDzp0Te7+QsWldXNmcOyeKrLQ0Occn0lKRIkCHDrJTPOx//wMuXLjfo20ynGxgdA/ulaUocrMQmcGZM8CtW2L4ku35RURERJQDLLKMrmxZsQTt7dviEwEiyhvbvnNVq3KeCJGa7twBXnsNeOON+wtgEJHjHT4MLFwI7NkjO4lTYZFldB4eotACuCkxkSM8/TQQGyv+IRGRehITgc8/Bz76iNuQEKnp11+B558HZs+WncSpsMgyA9uQpqNH5eYgMouCBYHy5WWnIDI3W++VxQK4usrNQmRmXF1QChZZZvDgvCwiIiIjeHCPLPZkEamH+2RJwSLLDCpXFudXrsjNQWR0ly4BzZsDb73FhWT0rFAh8eGSrJXpyDFsK4rJ2Ii4UiVxYg8aOQO99mSVKyeeh56espOogku4m0G7dsDNm0CBArKTEBnbvn3Apk3A5cvA1Kmy01BWevcWJzK2B3uytHbokPbHJJLFVmTprSdr40bZCVTFIssMfHxkJyAyB25CTKQdmUUWkTOxDRfUW0+WyXG4IBGRDTchJtKOrcjiVglE6tLrcEGTY5FlFgsXAk8+CcyYITsJkXGxJ8sYvvtOzEV96y3ZSSgvKlUCIiPlDBmqVk20Ic5lJmcwYgTw/fdAs2ayk2T05JPieWjS1bE5XNAszp8X/6iCgoDBg2WnITKe2Fjg3DlxuUYNqVHoEWJjxWqq7HE0Ni8vMfFdhmPHgLQ0IDVVzvGJtPT44+KkN//+K96/2oYzmgx7sszC9qbQNtyJiHLG9twJDwf8/aVGISIiImNjkWUWtk90T54E4uPlZiEyouvXgcBA9o4QaSUyEhgzBpg5U3YSInNbswb47Tfxf440wyLLLIKDgdBQsbcPl6YlyrkuXcT8jAULZCchcg7//gtMngzMnSs7CZG5DR0KtG8PnDghO4lTYZFlJrZP4DlkkCh3LBZuiUCkFdtmxFxdkEhdet0ny+RYZJkJiywiIjIK7pNFpA3ukyUFiywzqVkTKFSIn1QQ5dT27UDx4sDAgbKTkD38/IASJcQcOjIumUVWiRLi5Oqq/bGJtKbXfbKKFRPPQ5N+0MIl3M2kQwegY0cx5ImI7Ldvn1hG9tIl2UnIHv37ixMZm8zhgqdOaX9MIhkU5X5Plt4+hN++XXYCVbHIMhN+IkeUO9yEmEh7HC5IpL6UFMBqFZf11pNlchwuaFZpabITEBmHbR4jl28n0g6LLCL1PbjRr956skzOMEVWbGwsevbsCT8/P/j7+6N///6If8R+UE2bNoXFYslweumllzRKLMm334rxrW+8ITsJkTEkJQFHjojL7MkyhkWLgLp1gbFjZSehvOjWTfQiT56s/bEfe0y0oStXtD82kZY8PYF584AZM8RlPWnXTjwPjx2TnUQVhhku2LNnT1y6dAnr1q1DSkoK+vbti0GDBmHRokXZ3m/gwIGYOHFi+tc+Zl+e2c0NiI6+P/yJiLJ39CiQmgoULCgWvyD9u3wZ2LMHKFdOdhLKi8BAeYuX7N0rnve23jQis/L0BPr0kZ0ic4cOifesiYmyk6jCEEXW8ePH8eeff2L37t2oU6cOAOCLL75AmzZtMH36dBQpUiTL+/r4+CAkJMTuYyUlJSEpKSn967i4OABASkoKUiS/GNuOn22OKlXgDkA5cACpSUmAi2E6K0kFdrUZJ2fZvRtuAKw1ayItNVV2HOmM0GZc0tLgCsBqtSJNxzmdhRHazH+5AbDgXmYD5TYLI7YZcjzb8zA1NRXKI9qCntqMvRkMUWTt2LED/v7+6QUWALRo0QIuLi74559/8Oyzz2Z534ULF+KHH35ASEgI2rVrh7Fjx2bbmzV58mRMmDDhoevXrl2rm16wdevWZfk9S2oq2rq7wzUuDpvnzUNiaKiGyUivsmszzq5IVBRKly+Pq4GBOLF6tew4uqHnNhN+/DiqArhw8SL28W+mGzltM4GHDyPgxAncKFcOV6tXVylV5topCiwANm7ciLuFCml6bLpPz68zZuEWH49CJ04gJV8+xFasKDtOBi3v3IEPgG3btuHm5ct23UcPbSbRzp43QxRZMTExCAoKynCdm5sbAgICEBMTk+X9evTogRIlSqBIkSI4dOgQ3nrrLURGRmLZsmVZ3mf06NEYPnx4+tdxcXEICwtDq1at4Ofnl/cfJg9SUlKwbt06tGzZEu7ZTBS2VK0K7NuHZv7+UNq00TAh6Y29bcaptWkDfPABfAGEy86iA0ZoMy7//gsAKFqkCEL4GiddbtuMy7ZtcF24EGmvvAKrxn9Hy72tTpo3bw4ULarpsckYrzNmYdmxA27PPw+ldGmkHj8uO04GbvdWO2zUqBGU2rWzva2e2oxtlNujSC2yRo0ahalTp2Z7m+N5aBCDBg1Kv1y1alWEhobiySefxKlTp1C6dOlM7+Pp6QnPTCYGuru7S/+j2jwyS61awL59cDtyREwsJqenp/ZLxqDrNnNvuwoXFxe46DWjE8pxm7m3rLSrlxdcJf0d3d3dubqhRLp+nTGLe8PgLV5euv1du7m52f081EObsff4UousESNGoM8jJuOFh4cjJCQEV/6zAlBqaipiY2NzNN+qfv36AICoqKgsiyxTqFFDnNuWpSaizN25IzZq1MlQYCKnwiXcidR354445x5ZmpNaZBUuXBiFCxd+5O0aNGiAmzdvYu/evah9rztx48aNsFqt6YWTPQ4cOAAACDX7PKW6dYH69e8XW0SUuV9+AXr3Bnr0AL7/XnYaspe3t1iVztdXdhLKi+RkcS6jyCpcWBR5XByKzM62T5Ye98gKCBArC94bnWA2hpiTVbFiRbRu3RoDBw7EzJkzkZKSgqFDh6Jbt27pKwteuHABTz75JBYsWIB69erh1KlTWLRoEdq0aYNChQrh0KFDeP311/HEE0+gWrVqkn8ildWrB+zcKTsFkf79848YssSJ78by0kviRMZm68ny8ND+2Bcvan9MIhn03JNl8hFXhvkIZ+HChahQoQKefPJJtGnTBo0bN8bs2bPTv5+SkoLIyMj0FT88PDywfv16tGrVChUqVMCIESPQqVMn/P7777J+BCLSmx07xHmDBnJzEDkjDhckUp+tyNJjT5bJGaInCwACAgKy3Xi4ZMmSUBQl/euwsDBs2bJFi2j6decOEBcHBAfLTkKkPwkJwL0hxCyyiCRgkUWkPttwQT32ZJmcYXqyKIfmzBHzFV55RXYSIn3aswdISwOKFAHCwmSnoZxYuhRo2hSYNEl2EsqLCROAv/4COnfW/tgtWog2dPWq9scm0lKTJsAXX4j5x3rTrZt4Hp44ITuJKgzTk0U5VKKEeANp8vGuRLn24FDBe3vmkEH873/Ali3c38joypYVJxm2bhU9abbFN4jMqlo1cdKjnTuBc+eA27dlJ1EFe7LMqmZNcR4VZdrGS5QnnI9FREREKmFPllkFBgLFiolPfA8eBBo3lp2ISF86dgTy5weaNZOdhMg5/fwzcOkS0KaNvB4tIrM7cQK4fBkID+fQeI2xJ8vMbL1ZHDJI9LDevYGFC4FatWQnIXJOX30FDBt2fwEaInK8zz4T857mzpWdxOmwyDIzFllERKRXXF2QSH163ifL5FhkmRmLLKLM7dgBHDsmNiImIjlsi07I2IyYyFlwnyxpWGSZWZ06QM+eQN++spMQ6cuQIUDlysCyZbKTUG64uQE+PnxzbnQye7Ly5RNtiMjs9LxPlre3eB6adIVfLnxhZsWKAT/8IDsFkb4kJACHDonLjz0mNwvlztCh4kTGJrPIunFD+2MSyaDn4YLHj8tOoCr2ZBGRc9m9W+whV6yYOBGRHBwuSKQ+W08WhwtqjkWW2aWliU8K9u6VnYRIH7g/FpE+cOELIvXpuSfL5Fhkmd1PPwGVKgGvvSY7CZE+sMgyvhUrgLZtgWnTZCehvFi0CPjzT6BcOe2P3b69aEPXrml/bCItvfYaMHkyULGi7CQP69dPPA8jI2UnUQXnZJldjRri/OBBsZKaC+tqcmKKwiLLDM6eBVavBgoUkJ2E8qJRI3nH/vNPMVzRNpSKyKyef152gqxt2iRez8ePl51EFXzHbXbly4txuPHxQFSU7DREckVFiU+uPTzub3FARERE5GDsyTI7NzegWjVg1y6xX5aMYRlEelGkCLBqFRAdDXh6yk5D5NxmzxajK7p1A/Lnl52GyJz++UfMe6xcmf/3NMaeLGdQp44437VLbg4i2fLlA9q0AV56SXYSIho8GBg4ELh1S3YSIvNq1gyoXRu4dEl2EqfDIssZ2PYC2rlTbg4iIiJAzI9MSxOXubogkToUhasLSsQiyxnYiqy9e+/vS0LkbOLjgbffBlauFP94iEge2/LtAIssIrU8+J6P+2RpjnOynEGZMsC774ruYiJntWsX8MEHQPHiwNNPy05D5NweLLJkbkbMD1zIzGy9WIC+e7JM+jxkkeUMLBbTLo9JZDcu3W4ew4aJExmX7J6spCTtj0mkNdsWBRaLPnuMz5yRnUBVHC5IRM6BRRaRfjw4jEmPb/6IzODB+VgWi9wsTohFlrNIShJLV0+dKjsJkfYU5f7CLyyyiOSz9WS5ufHNH5FabEUW52NJweGCziIpCWjXTrzZ7NULCA2VnYhIO//+C1y/Lv7R1KghOw3l1apVwPz5QOPGwGuvyU5DuREQAPz22/0VBrXWo4co9L7+GggMlJOBSG2BgcCkSWI/Oj0aMgS4ckXMly5bVnYah2OR5Sz8/IAqVYDDh8Un+s8+KzsRkXZsQwVr15Y7yZ4cIyoKWLqUw8yMzNtbfPAny7Jl4sPHjz+Wl4FIbUFBYlVdvfrjDzEv6403ZCdRhU5LW1IF98siZ7Vvnzhv2FBuDiIiInIKLLKciW0uiu1TfSJn8cknwPHjYmgCEcl3/TqwYAHw66+ykxCZ17VrwMGDwIULspM4JRZZzsTWk7VnT8blc4nMzsUFqFABKFFCdhIiAoBTp4DevTmnjkhNv/0m5iG/+KLsJE6JRZYzKV8e8PcXq80cPiw7DREROSvbB32cV0eknvh4cZ4/v9wcTopFljNxcQHq1xeX//lHbhYircyYAXTvDqxZIzsJEdmwyCJSn63IypdPbg4nxSLL2UyZAhw7xq5jch6//AL89JMYnkRE+mArsrjaJ5F62JMlFZdwdzbcI4icyd27wLZt4nLz5nKzkOMMHgwMGAC4uspOQrmVnCzOZfVkXb8uzr295RyfSAsJCeJcr0XWkSNi/1aTbpbMIouIzGvnTrEXTmiomJNI5uDuzmFmRid7uCCHT5Ez0HtPlo+P7ASq4nBBZ/Tjj0DPnsCmTbKTEKlr40Zx3qwZYLHIzUJE93G4IJH69F5kmRx7spzRunXAokVAqVLizSeRWdmKLA4VNJd164CFC8VCPi+/LDsN5Ub9+uIDv0KF5Bx/4EBR6H30kbwMRGp79lnxXq9OHdlJMvfmm8DVq8DYsUDp0rLTOBx7spyRbb8sbkpMZpaQcH8VTX6YYC7HjwPffQds3So7CeVW8eJAt25Ay5Zyjv/996IN2easEJlRt25iwbMGDWQnydyyZeJ5ePWq7CSqYE+WM7IVWbt2AWlpnDxO5nTxIlCzppjgXqqU7DRERETkRNiT5YwqVxbjc+PjgaNHZachUkfZsuKDhOPHOR+LSG+iosT2Cnv2yE5CZF6RkcCZM/dX8yRNschyRq6uQL164vLOnXKzEKmNE+uJ9GfVKuC558ScKCJSR/PmQHi4WCqdNMciy1nZxudyXhaZUVLS/VWViEh/bJ+s80MQIvVwdUGpWGQ5q8ceA1xcgLg42UmIHG/tWqBgQaBHD9lJiCgzsvfJIjI7RdH/ZsQmx4UvnFXLlsCtW3zikTlt2gSkpgK+vrKTEFFmWGQRqSspSSxuBvC9niQsspyVp6c4EZmRbaNt7o9lTgMGAN278zXMyGQPFzx/XpwHBMg5PpHaHhwyny+fvBzZ2bULsFoBf3/ZSVTBIotElzJXXyOzuH4dOHBAXG7aVGYSUouPjziRccnuySpcWM5xibRiK7K8vfW7VY/JNwLnnCxntm2bmJvVvr3sJESOs2WLOK9cGQgOlpuFiDInu8giMjtbkaXXXiwnwJ4sZ+bjA/zzD1CggOiudWHNTSawcaM4b9ZMbg5Sz6ZNwNKlQO3aQL9+stNQbnTrJj4IqV5dzvGHDROF3sSJpv80nZxUwYLAm2/qewXP8eOBa9eAESPEUvMmwyLLmVWtKrqRb90CTpwAKlWSnYgo7zgfy/wOHwZmzAC6dmWRZVT164uTLLNmAXfvAiNHssgicypaFJg2TXaK7C1cCJw6BTz/vCmLLMN0Xbz//vto2LAhfHx84G/nBDlFUTBu3DiEhobC29sbLVq0wL///qtuUCNxcwPq1hWXuV8WmYGiAIMHAx07Ak2ayE5DRERETsowRVZycjI6d+6Ml19+2e77TJs2DZ9//jlmzpyJf/75B/ny5UNERATu3r2rYlKDadhQnP/9t9wcRI5gsQBDhgC//MJVw4j0bP9+4M8/geho2UmIzOnmTeDsWXFOUhimyJowYQJef/11VK1a1a7bK4qCTz/9FO+88w7at2+PatWqYcGCBbh48SJWrFihblgjsa2+ZhtiRUREpLbJk4GnngJ++012EiJzWrwYKFUK6NtXdhKnZdo5WWfOnEFMTAxatGiRfl2BAgVQv3597NixA926dcv0fklJSUhKSkr/Oi4uDgCQkpKCFNtqSJLYju/QHPXrw83NDZZz55By8qR4QpJpqNJmdMyycCGU+vWB0qW5LUEuGaHNuKSlwRWA1WpFmo5zOovctBnXpCS4AEhzcYFVwt/QDYAF9zKzDWnOCK8zRudy65Z4nfTx0e3rpO15mJqaCuURGfXUZuzNYNoiKyYmBgAQ/J8lnIODg9O/l5nJkydjwoQJD12/du1a+OhkX5Z169Y59PHq1a4Nq6srTqxdi/iwMIc+NumDo9uMHnlfvYpWAwfC6uKCP374Aak6eb4alZ7bTPixY6gK4OKlS9i7erXsOHRPTtpM/QsXEALg0PHjiJbwN3zaaoUrgE2bNuFOUJDmxydBz68zRld+/35UAHAuNhaHdPo6+WRCAvID2L59O27Extp1Hz20mcTERLtuJ7XIGjVqFKZOnZrtbY4fP44KFSpolAgYPXo0hg8fnv51XFwcwsLC0KpVK/j5+WmWIzMpKSlYt24dWrZsCXdH7i3Spg0AgP9mzEe1NqNDlgULxIU6ddDquefkhjEwI7QZl9OnAQBFQkMRfO/1i+TJTZtx/fJLAEDV2rVRRcLf0OXeliXNmjUDSpTQ/PjOzgivM0bnsnUrAKB4pUooptPXSbd7e3g1bNgQymOPZXtbPbUZ2yi3R5FaZI0YMQJ9+vTJ9jbhuVzSMSQkBABw+fJlhIaGpl9/+fJl1KhRI8v7eXp6wtPT86Hr3d3dpf9RbfSUhYzBKdrMX38BAFyaN4eL2X9WDei6zfTvDzz7LFzy5ePfWkdy1GZSUwEAbt7ecjYkPnECUBS4FysmVtolKXT9OmN093pbXH194arX3/HmzUBqKtxCQux+HdBDm7H3+FJfWQoXLozChQur8tilSpVCSEgINmzYkF5UxcXF4Z9//snRCoVOQ1GAkyeBwEDuGULGoyj3NyHm/ljm5+cnTmRcycniXNabJfZekdnFx4vz/Pnl5shOsWKyE6jKMKsLRkdH48CBA4iOjkZaWhoOHDiAAwcOIN7WiABUqFABy5cvBwBYLBYMGzYMkyZNwm+//YbDhw+jV69eKFKkCDp06CDpp9Cxzp2BChWAJUtkJyHKudOngfPnxRu2Ro1kpyGiR7FNHNfrJ+xERpeQIM71XGSZnGH6yMeNG4fvvvsu/euaNWsCEJNWm95bhjwyMhK3bt1Kv83IkSORkJCAQYMG4ebNm2jcuDH+/PNPeHl5aZrdEKpVE3sLbdoEvPSS7DREOWPrxXrsMYALXpjf338Dv/4KVK8OPP+87DSUG2++CVy8CFSpIuf4Y8aIQm/MGKBgQTkZiNTUujUQFATYufWRFFOnAteuif0tS5aUncbhDFNkzZ8/H/Pnz8/2NoqiZPjaYrFg4sSJmDhxoorJTKJZM2D8eDE+VlG4/DUZi22ft2bN5OYgbezfD0yfDnTtyiLLqDp3lnv8Tz8F7twBhg5lkUXmNGiQ7ASPNmcOEBUFPPssiywysXr1AG9v4MoV4NgxoHJl2YmI7DdrlnjTxnZLREREOmCYOVmkMk9PoHFjcdnWK0BkFL6+4pOwcuVkJyEie+zYIVYEfWBeNRE50MWLQGwskJYmO4nTYpFF99mGWtnmtxAREamhc2fgiSfEqrZE5Hg1aojVoo8fl53EabHIovtsRdaWLYDVKjcLkb26dQPGjROTZ4nIGLi6IJG6jLCEu8lxThbdV6eOWPHpiSdEkeXCGpx07tw5YPFi0VaHDZOdhojsZdsny8NDbg4iM0pLEwu7AEC+fHKzODEWWXSfmxswbZrsFET2W7VKnDdsCAQEyM1CRPZjTxaRemx7ZAHsyZKIRRYRGZetyGrbVm4O0laPHkDz5oCfn+wklFuyi6w9e8R2JaGhco5PpCZbkeXiAuh5b9jVq0WvdqlSspOogkUWZZSWJlYX3LpVzHNxYxMhnUpMvL9IC4ss51KokDiRMSnK/SJL1nDBSpXkHJdICw/Ox9Lzvqdly8pOoCq+g6aHde4M3LwJtGsH1K0rOw1R5jZtAu7eBcLCgCpVZKchInulpYlCC+BwQSI1cNELXWCRRRm5uoqFL377TbyJZZFFevXgUEE9f1JHjrdrlxhmUrmy+FCIjGfaNNGbJWtS/vvvi+MPGwb4+8vJQKSWAgWAQYP0v+jFF18A168D/foBxYvLTuNwLLLoYc2aiSJr40Zg5EjZaYgy5+0NFCzIoYLOaNcuYMIEoEsXFllG5OYmVrKV6YMPxJDjPn1YZJH5hIcDs2bJTvFoX3wB/Psv0KKFKYssrtFND7Ptl/X33/fHzRPpzUcfAVeuAK1by05CRERElAGLLHpY1apiUnlCArB7t+w0RFlzc+PiLERGk5QE/PMPcOCA7CRE5pSYKObW84NyqVhk0cNcXICmTcXlTZukRiHK1OnT9yfOE5GxxMQAjz0GNGggOwmROX37rRhO37On7CROjUUWZc42ZJA9WaQ3N24A5coBJUsCt27JTkNEOSV7jywis+PqgrrAcTaUuc6dgccf59LYpD9r1ogloH19xQpKRGQsLLKI1GXbjJhFllQssihzQUHiRKQ3Dy7dTkTGk5wszllkEamDPVm6wCKLiIwjLQ344w9xmUWW8+rcGahfHwgIkJ2EckMPPVlbtwJWKxAaKi8DkVqMUmQtXSoWwqlQQXYSVbDIoqydPi32oomNBX7/XXYaIrE/0vXrYl+bhg1lpyFZgoPFiYzJVmR5eMjLULu2vGMTqc1WZOl9M+Jq1WQnUBWLLMqapyewYAFgsYj9iDh8kGRbuVKcR0Rw6XYio+JwQSJ1GaUny+T4LoWyVrQoULMmsH+/GKLVu7fsROTsOB+LAGDfPmDDBqB8eeCZZ2SnoZwqXhwYP17ucM9PPxU9agMHip5xIjNp0kQUWGXLyk6SvTlzxIrB3bsDxYrJTuNwLLIoe08/LYqslStZZJF806aJtti6tewkJNP27cDIkWJuFoss4ylVCnj3XbkZ3nlHrMD23HMsssh83nxTdgL7fPghcPKk2DfPhEUW98mi7Nl6DNauvT/Eg0iWVq2Azz8HCheWnYSIiIgoSyyyKHt164o3tHFxwN9/y05DRERGd/MmcPQocP687CRE5nT7NpCaKjuF02ORRdlzcQHatBGXbfNhiLQWFwe89poo9BVFdhoiyos//xQb3ffpIzsJkTmVKCEWlomMlJ3EqbHIokd7+mmgalXxpCWS4fffxTDBAQNkJyGivOLqgkTq4uqCusCFL+jROnUSk4OJZPn5Z3HepYvYUoCIjEsPmxETmVVy8v3nGIssqdiTRY/GN7UkU1ycGF4EiCKLiIxND5sRE5mVrRcL0P9mxCbHniyyX2IicPAg0KCB7CTkTH77TXwyV7EiULmy7DSkB88+K+b0cJVJY9LDcME//gDS0oCQEHkZiNRgK7I8PQE3nb/NX7AAuHNHTEkxIZ3/9kk3Ll0CwsPFP6Xr1wFfX9mJyFlwqCD9V9Gi4kTGpIfhgo8/Lu/YRGoy0nys+vVlJ1AVhwuSfUJDgbAw8c9x3TrZachZ3LwJrFkjLnfuLDUKETmIHoosIrMyUpFlciyyyH5PPy3OV66Um4OcR1SUGBJWuTKHCtJ9hw8DX311f64eGUu9esAbbwCtW8vLMHu2aEO3bsnLQKQGX1/xoeRTT8lO8mgLF4rn4cWLspOogsMFyX5PPw188onYL8tqFXtoEampTh0gOhqIiZGdhPRk61Zg6FDxRkLmG3XKnebNxUmm4cOBhATxRrRAAblZiBypYsX7w+z17r33xF5eVasCRYrITuNwfJdM9mvcWHxCcuUKsHev7DTkLFxcTPniS0RERObFIovs5+EBRESIyxwySGq7fBlITZWdgogc7do14Nw5sT0DETlWaqoYbUTSsciinGnbVpyvWiU3B5lf376iB4ttjchcJkwASpYEpk2TnYTIfL74AnB1Bfr1k53E6XFOFuVM27bA9On3iy0iNdy4IVaxTE0FSpeWnYaIHImbEROpx7a6IFfvlI5FFuVM4cLAiBGyU5DZrVghCqxq1YAKFWSnISJH0sNmxERmxSXcdYPDBYlIfx7cgJiIzIX7ZBGph0WWbrAni3IuJUXsbbBmDTBvHuDlJTsRmcn168D69eIyNyCmzLRtK+b0hIbKTkK5oYfhgkuXAmlpQEiIvAxEajBSkTVzpthKwaT7YLLIopxzcwPefltsHtenz/0VB4kcwTZUsHp1oFw52WlIj0qWFCcyJj30ZHF/NTIrIxVZTZvKTqAqDheknLNYgDZtxGUu5U6OtmSJOOdQQSJz0kORRWRWRiqyTI49WZQ77doBc+YAy5cDn30mNowlcoQPPgBq1AC6dpWdhPTq+HHgn3+AEiWAZs1kp6GcatMGKFYMqFRJXoYffhA95h07An5+8nIQOVrduuI9WYkSspM82vLlwK1bomfZhEN3WWRR7rRqJf4xXbgAbNsGPP647ERkFrVqiRNRVjZuBIYOBZ57jkWWEb30kuwEwMsvi0/8H3+cRRaZy6RJshPYb8wY4MQJYPNmUxZZ7H6g3PHyAp59Vlz+6Se5WYiIiIiIdIRFFuVet27ifMkSMeyCKC/Onwd69AA2bJCdhIjUdP06cO3a/blZROQ4iiI7Ad3DIoty78knxebE5csDly/LTkNG9913wI8/GmuoAxHlXKtW4n+HbasGInKcAgUAX1/g3DnZSZyeYYqs999/Hw0bNoSPjw/8/f3tuk+fPn1gsVgynFpz2VbHcXcHTp0C/voLKFpUdhoyMqsVmDtXXO7XT24WIlIXVxckUofVCty+LeYbenvLTuP0DLPwRXJyMjp37owGDRrg22+/tft+rVu3xrx589K/9vT0VCOe8/L1lZ2AzGDLFuDMGTEBvVMn2WmISE3JyeJc5mbERGaUmHj/Mpdwl84wRdaECRMAAPPnz8/R/Tw9PRFiwhVLdOfaNfHJCTcIpdywfXDSvTvg4yM3CxGpiz1ZROpISBDnFgt7snTAMEVWbm3evBlBQUEoWLAgmjdvjkmTJqFQoUJZ3j4pKQlJSUnpX8fFxQEAUlJSkCJ5kq7t+LJz/JfL7Nlwee01KF26IO2772THoQfotc1kcPMm3H75BRYAqb16QdFzVidgiDbTvDksixYBxYqxvehATtuMW0qKeL5bLNL+fpa5c4HUVCgBAVyAQwJDvM4Y0Y0bcAeg5M+PVAMsSGb58EPg9m0oZcs+8nmopzZj92udyjmkat26NTp27IhSpUrh1KlTGDNmDJ566ins2LEDrq6umd5n8uTJ6b1mD1q7di18dPIJ+7p162RHyKBgYiKeSEtD2vLlWNOhA9I4JFN39NZmHlTyzz9R/e5dxBUvjk1XrgCrV8uORNB3mwEgejxjY9ledMTeNhNx+za8APz1zz+Ik7VokoeHOG3dKuf4BMAArzMG43fmDJoBSHJzwxqjvDb6+AC7d9t9cz20mcQHh2Vmw6Io8tZ6HDVqFKZOnZrtbY4fP44KFSqkfz1//nwMGzYMN2/ezPHxTp8+jdKlS2P9+vV48sknM71NZj1ZYWFhuHbtGvwkb1iYkpKCdevWoWXLlnDX0zALRYFb+fKwnD2L1B9/hMI5Nbqh2zbzAMuPP8L1/fdhHTgQ1tdekx3H6RmhzZC+5LTNuIWEwBIbi5SDB4GKFTVISHrD1xl1WLZvh1vTplDKlEHqsWOy4ziUntpMXFwcAgMDcevWrWxrA6k9WSNGjECfPn2yvU14eLjDjhceHo7AwEBERUVlWWR5enpmujiGu7u79D+qjZ6ypOvaFZg6FW5Ll97fP4t0Q5dtxqZXL+CFF+CamgpXvWZ0QrpuM1FRwP79QLFiQIMGstPQPXa3me7dgbg4uAcFyZuXtXy52N/xqae4QIBEun6dMaICBYBWrWAJDTXG7/XPP8VqiE2aAEFBdt1FD23G3uNLLbIKFy6MwoULa3a8//3vf7h+/TpCQ0M1O6bT6NYNmDoVWLkSiIsTq8QR2cti4SR4st/atcCQIcBzz4nN0MlYvvxSdgKgd2/x5i4qikUWmUeNGsCaNbJT2G/4cOD4cWDTJruLLCMxzD5Z0dHROHDgAKKjo5GWloYDBw7gwIEDiI+PT79NhQoVsHz5cgBAfHw83nzzTezcuRNnz57Fhg0b0L59e5QpUwYRERGyfgzzql5dbEqclAT8+qvsNGQESUnAokXAnTuykxARERE5lGGKrHHjxqFmzZoYP3484uPjUbNmTdSsWRN79uxJv01kZCRu3boFAHB1dcWhQ4fwzDPPoFy5cujfvz9q166Nv/76i3tlqcFiuT9McPFiuVnIGH7/HejZE6hTB5A3NZSItKQoYrTDnTt83hORqRlmdcH58+c/co+sB9fw8Pb2xhojdZmawQsvACEh3EyW7GPbG6tDB1GkE5H5JSWJeSMAcPPm/ctElHfTpwPvvQf07Qt8+qnsNE7PMEUWGUDp0uJE9Cjnz98fN963r9wsRKSdB/eX4TxMIseKixOntDTZSQgGGi5IRCby3XdiqNATTwBlyshOQ0RaebDI8vCQl4PIjGzrFHAxF11gkUWOpSjAjBliOc6YGNlpSI+sVmDePHG5f3+5WYhIWw8WWa6u8nIQmZGtyMqXT24OAsDhguRoFguwYAHwzz/A0qXA0KGyE5HebN0KnD4N+Ppy/h7lTvPmolAvUUJ2Esqp5GRx7u4udy7m11+Lgk/DbWSIVGe0nqz33wdu3RKrU5sQiyxyvG7dRJG1aBGLLHrYtm3ivHt3ftpGuVOhgjiR8dh6smQPFezZU+7xidRgtCLr2WdlJ1AVhwuS43XtKoaB7NgBHD0qOw3pzdtvA//+C4waJTsJEWnNVmRx0QsixzNakWVyLLLI8UJDgXbtxOXZs+VmIX0qUwYoVUp2CjKqc+eAVauAvXtlJ6GcypdPfBDXoYPcHGvWiDaUkCA3B5EjVa4MNGgg3ocZwZYt4nl47ZrsJKpgkUXqePFFcb5ggdh0kig5WSzdTpRXq1cDTz8NTJ4sOwnlVLFiwE8/3V/8RpYuXUQbunRJbg4iR/riC2D7drH4mBEMGSKeh4cPy06iChZZpI5WrYCSJcVmkz//LDsN6cHixaL3atgw2UmIiIiIVMWFL0gdLi6iN2vrVg4LI7G0/yefiA0Sg4JkpyEiWaxW8XrA5duJyOTYk0XqeestMazniSdkJyHZtm4F9u8HvL3vDyUlIuezeTPg5gZUqyY7CZH5BAcDYWEcBqsT7Mki9cjcA4X05eOPxXnv3kChQnKzEJE8ttUF2ZNF5FjJycCVK+Kyl5fcLASAPVmkhfPngffe4ypOzioqCvj9d3GZ87GInBuXcCdSx4PvsbgHpS6wJ4vUpShAixbAyZNA0aJAv36yE5HWPvtMtIM2bUy7qzsR2Sk5WZzL3oyYyGxse2R5ePD5pRMsskhdFosorEaNAmbNYpHlbFJSgKVLxeXXX5ebhczj8ceBL78ESpeWnYRySi89WdOni4IvMFBuDiJHMeJGxG+/DcTGAmXLyk6iChZZpL6+fYGxY4Fdu4ADB4AaNWQnIq24uwPHj4tC68knZachs6hSRZzIePRSZA0cKPf4RI5mK7KMNFSwe3fZCVTFOVmkvqAg4NlnxeVZs+RmIe35+wMDBnAhFCLicEEitRixJ8vkWGSRNmzLdi9ceP+FgMztxg0xF4vI0S5cEEuBHzkiOwnlVLFiQNu2QN26cnP8/bdoQ4mJcnMQOYqXF1C/vrG2R9i9WzwPb9yQnUQVLLJIG82aiTG3t28DP/4oOw2pTVGA1q3FC/7hw7LTkNn89pt4TRk/XnYSyqlWrYCVK+X/7Z5+WrShCxfk5iBylAYNgJ07gZ9+kp3Efv36iefh/v2yk6iCRRZpw2IBBg0SY4VjY2WnIbXt2CHm4B06JDZHJCIiInIiXPiCtPPii6LQ8vOTnYTU9skn4rxnTzEnj4iIiMiJsCeLtOPrywLLGURFAcuWicvcfJiIHjR5spg78sorspMQmcvHHwPFi4vVnEkXWGSRHH/9BVy/LjsFqWHCBMBqFZsPV60qOw0R6cndu0BSkniNICLHuXIFOH+ei4vpCIss0t6LLwJPPAF88YXsJORox4+LFSQBYOJEuVmISH/0sk8WkdkkJIhzLuGuGyyySHu2TWk//1ysNkjmMW+eWFmwQwegdm3ZaYhIb1hkEamD+2TpDhe+IO116iSWc//3X2D2bGDECNmJyFGmTAHq1QMqVpSdhMysQQNg2jTxOkLGopfNiCdOFMMWCxWSm4PIUYxYZA0fDly7BpQuLTuJKlhkkfZcXYFRo4D+/YGPPgKGDBETocn4XFyA556TnYLMrkYNcSLj0UtP1quvyj0+kaMZscjq21d2AlVxuCDJ8fzzQLFiwKVLwHffyU5DeXXhwv3x4EREWdFLkUVkNkYsskyORRbJ4eEBvPGGuDxtGpCaKjcP5c2gQUB4OLBmjewk5AyuXAF27xbbBZCxlCsHNG0KlColN8e+faIN3b0rNweRo5QoIYbqBwbKTmK/I0fE8zAuTnYSVbDIInkGDBAvBhYLcO6c7DSUWzt2AKtXiyX5TTqumnRm2TIx9++tt2QnoZx6801g0yagRw+5OZ58UrSh6Gi5OYgc5YcfgGPHgCZNZCexX48e4nm4e7fsJKrgnCySJ18+YMsW8cmmG5uiYY0fL8579wbKlJGbhYiIiEgH+M6W5KpUSXYCyou//gLWrRPzK7jLPBEREREADhckvUhKEkOAFEV2ErKXotwvrPr3B0qWlBqHiAygc2exbPrixbKTEJmHooh50VWqiKH7pAvsySL5UlPFC0NUlBir37Sp7ERkj40bxXBPDw9gzBjZaYjICG7eBGJjudgRkSPduQOcOSMue3rKzULp2JNF8rm5ARER4vIHH8jNQvb7+29x/uKLQFiY3CxEZAx62YyYyExsy7cDgI+PvByUAYss0oc33hCbFK9bZ9pVZkxn/HjgwAHg7bdlJyEio+A+WUSOZyuy8uUDXPjWXi84XJD0oWRJoGdPYMECYPJkMT+L9K96ddkJyBnVqSOK/IoVZSehnNJLkfXWW2KPrEKF5OYgcgSjbkT88svA5cvy981TCYss0o+33hJF1vLlwN69QO3ashNRZhYtEvtacLl2kqVOHXEi40lKEuey542MGiX3+ESOZOQiy8TYp0j6UanS/Q0qX3+dKw3qUVQU0LcvULkycPy47DREZDR374pzLy+5OYjMxKhFlsmxyCJ9mTIF8PYG/P0zTuQk+RQFeO01MXG9aVOgQgXZichZxcYCR48C0dGyk1BOVasG1K0LFCwoN8fx46IN2XrWiIzMzU38TzbasLuoKPE8NOn7PQ4XJH0JCwOOHeOeS3r0++/A6tViLsXnnwMWi+xE5Kx+/lkMM3n2Wc7fNJqlS2UnEBo2FMvJnzgBlC8vOw1R3jRvbszRJZ06AYcOiUXPWrSQncbh2JNF+sMCS3/u3BG9WAAwfDjflBARERFlg0UW6VdMDDB4sFh5huSaOhU4exYoVgx45x3ZaYiIiIh0jUUW6VePHsDXXwPjxslO4tzOnBFz5QDgo484sZaIcictDQgJEaMVYmNlpyEyj88+E/Mdp0+XnYQewCKL9GviRHE+Zw5w8KDcLM4sNBQYOxZo1w7o3Fl2GiIyqqQkMTLh3Dn5+2QRmUl0NHD4MHD1quwk9AAWWaRfjRsDXboAVquYB8Ql3eXw8gLefhv49VcudkFEuffgSn5cwp3IcbiEuy6xyCJ9mzpVbFq5caNY3Y60k5wMpKbe/5oFFhHlhW2PLBcXseQ0ETlGQoI4Z5GlK4Yoss6ePYv+/fujVKlS8Pb2RunSpTF+/HgkJydne7+7d+9iyJAhKFSoEPLnz49OnTrhMhdRMJaSJUUvFgCMGCHe+JM23n4bqFUL2L5ddhKijKpXB954A2jfXnYSyokHNyKW/aHNK6+INiR7vy4iR7D1ZOXLJzdHTvXuLZ6HxYvLTqIKQ3yUdOLECVitVsyaNQtlypTBkSNHMHDgQCQkJGB6NpP8Xn/9daxatQpLlixBgQIFMHToUHTs2BHbtm3TMD3l2ejRwNy5YtO6r7++v5Q4qWfjRrHIhaJwjDfpT4MG4kTG8mCRJZttzi+RGRh1uKDtQ3STMkSR1bp1a7Ru3Tr96/DwcERGRuLrr7/Ossi6desWvv32WyxatAjNmzcHAMybNw8VK1bEzp078dhjj2mSnRzA11cMGzx0COjVS3Ya84uNFb9nRQEGDmRvARE5hp6KLCIzMWqRZXKGKLIyc+vWLQQEBGT5/b179yIlJQUtHthBukKFCihevDh27NiRZZGVlJSEpAcm5966dQsAEBsbi5SUFAelz52UlBQkJibi+vXrcHe2lZmeflqcrFbg+nXZaQwjx21GUeDavz9cLlyAEh6O1Hfe4e/byRjideb2beDGDcDbGyhcWHYap2d3m4mPh1uVKlAKFUKa7NeV8+fFB0mhoVzpUAJDvM4YiKuvLyzBwUizWKDIfm7lxKVLQEqKeB339s72pnpqM7dv3wYAKI9YkM2QRVZUVBS++OKLbIcKxsTEwMPDA/7+/hmuDw4ORkxMTJb3mzx5MiZMmPDQ9aVKlcp1XiJDOn0aKFFCdgoiMqPAQNkJiMznmWdkJ3Aqt2/fRoECBbL8vtQia9SoUZg6dWq2tzl+/DgqVKiQ/vWFCxfQunVrdO7cGQMHDnR4ptGjR2P4A2NErVYrYmNjUahQIVgkT9SNi4tDWFgYzp8/Dz8/P6lZyBjYZiin2GYop9hmKKfYZiin9NRmFEXB7du3UaRIkWxvJ7XIGjFiBPr06ZPtbcLDw9MvX7x4Ec2aNUPDhg0xe/bsbO8XEhKC5ORk3Lx5M0Nv1uXLlxESEpLl/Tw9PeHp6Znhuv/2hsnm5+cnvYGRsbDNUE6xzVBOsc1QTrHNUE7ppc1k14NlI7XIKly4MArbOZ7+woULaNasGWrXro158+bBxSX71edr164Nd3d3bNiwAZ06dQIAREZGIjo6Gg24KhUREREREanEEPtkXbhwAU2bNkXx4sUxffp0XL16FTExMRnmVl24cAEVKlTArl27AIgKs3///hg+fDg2bdqEvXv3om/fvmjQoAFXFiQiIiIiItUYYuGLdevWISoqClFRUShWrFiG79lW9khJSUFkZCQSExPTv/fJJ5/AxcUFnTp1QlJSEiIiIjBjxgxNszuSp6cnxo8f/9BwRqKssM1QTrHNUE6xzVBOsc1QThmxzViUR60/SERERERERHYzxHBBIiIiIiIio2CRRURERERE5EAssoiIiIiIiByIRRYREREREZEDscjSma+++golS5aEl5cX6tevn74kfVaWLFmCChUqwMvLC1WrVsXq1as1Skp6kZM288033+Dxxx9HwYIFUbBgQbRo0eKRbYzMJ6evMzY//fQTLBYLOnTooG5A0p2ctpmbN29iyJAhCA0NhaenJ8qVK8f/T04mp23m008/Rfny5eHt7Y2wsDC8/vrruHv3rkZpSaatW7eiXbt2KFKkCCwWC1asWPHI+2zevBm1atWCp6cnypQpg/nz56ueM6dYZOnI4sWLMXz4cIwfPx779u1D9erVERERgStXrmR6++3bt6N79+7o378/9u/fjw4dOqBDhw44cuSIxslJlpy2mc2bN6N79+7YtGkTduzYgbCwMLRq1QoXLlzQODnJktM2Y3P27Fm88cYbePzxxzVKSnqR0zaTnJyMli1b4uzZs1i6dCkiIyPxzTffoGjRohonJ1ly2mYWLVqEUaNGYfz48Th+/Di+/fZbLF68GGPGjNE4OcmQkJCA6tWr46uvvrLr9mfOnEHbtm3RrFkzHDhwAMOGDcOAAQOwZs0alZPmkEK6Ua9ePWXIkCHpX6elpSlFihRRJk+enOntu3TporRt2zbDdfXr11defPFFVXOSfuS0zfxXamqq4uvrq3z33XdqRSSdyU2bSU1NVRo2bKjMmTNH6d27t9K+fXsNkpJe5LTNfP3110p4eLiSnJysVUTSmZy2mSFDhijNmzfPcN3w4cOVRo0aqZqT9AeAsnz58mxvM3LkSKVy5coZruvatasSERGhYrKcY0+WTiQnJ2Pv3r1o0aJF+nUuLi5o0aIFduzYkel9duzYkeH2ABAREZHl7clcctNm/isxMREpKSkICAhQKybpSG7bzMSJExEUFIT+/ftrEZN0JDdt5rfffkODBg0wZMgQBAcHo0qVKvjggw+QlpamVWySKDdtpmHDhti7d2/6kMLTp09j9erVaNOmjSaZyViM8v7XTXYAEq5du4a0tDQEBwdnuD44OBgnTpzI9D4xMTGZ3j4mJka1nKQfuWkz//XWW2+hSJEiD71YkTnlps38/fff+Pbbb3HgwAENEpLe5KbNnD59Ghs3bkTPnj2xevVqREVFYfDgwUhJScH48eO1iE0S5abN9OjRA9euXUPjxo2hKApSU1Px0ksvcbggZSqr979xcXG4c+cOvL29JSXLiD1ZRE5qypQp+Omnn7B8+XJ4eXnJjkM6dPv2bbzwwgv45ptvEBgYKDsOGYTVakVQUBBmz56N2rVro2vXrnj77bcxc+ZM2dFIpzZv3owPPvgAM2bMwL59+7Bs2TKsWrUK7733nuxoRLnGniydCAwMhKurKy5fvpzh+suXLyMkJCTT+4SEhOTo9mQuuWkzNtOnT8eUKVOwfv16VKtWTc2YpCM5bTOnTp3C2bNn0a5du/TrrFYrAMDNzQ2RkZEoXbq0uqFJqty8zoSGhsLd3R2urq7p11WsWBExMTFITk6Gh4eHqplJrty0mbFjx+KFF17AgAEDAABVq1ZFQkICBg0ahLfffhsuLuwToPuyev/r5+enm14sgD1ZuuHh4YHatWtjw4YN6ddZrVZs2LABDRo0yPQ+DRo0yHB7AFi3bl2WtydzyU2bAYBp06bhvffew59//ok6depoEZV0IqdtpkKFCjh8+DAOHDiQfnrmmWfSV3QKCwvTMj5JkJvXmUaNGiEqKiq9IAeAkydPIjQ0lAWWE8hNm0lMTHyokLIV6YqiqBeWDMkw739lr7xB9/3000+Kp6enMn/+fOXYsWPKoEGDFH9/fyUmJkZRFEV54YUXlFGjRqXfftu2bYqbm5syffp05fjx48r48eMVd3d35fDhw7J+BNJYTtvMlClTFA8PD2Xp0qXKpUuX0k+3b9+W9SOQxnLaZv6Lqws6n5y2mejoaMXX11cZOnSoEhkZqaxcuVIJCgpSJk2aJOtHII3ltM2MHz9e8fX1VX788Ufl9OnTytq1a5XSpUsrXbp0kfUjkIZu376t7N+/X9m/f78CQPn444+V/fv3K+fOnVMURVFGjRqlvPDCC+m3P336tOLj46O8+eabyvHjx5WvvvpKcXV1Vf78809ZP0KmWGTpzBdffKEUL15c8fDwUOrVq6fs3Lkz/XtNmjRRevfuneH2P//8s1KuXDnFw8NDqVy5srJq1SqNE5NsOWkzJUqUUAA8dBo/frz2wUmanL7OPIhFlnPKaZvZvn27Ur9+fcXT01MJDw9X3n//fSU1NVXj1CRTTtpMSkqK8u677yqlS5dWvLy8lLCwMGXw4MHKjRs3tA9Omtu0aVOm701sbaR3795KkyZNHrpPjRo1FA8PDyU8PFyZN2+e5rkfxaIo7IclIiIiIiJyFM7JIiIiIiIiciAWWURERERERA7EIouIiIiIiMiBWGQRERERERE5EIssIiIiIiIiB2KRRURERERE5EAssoiIiIiIiByIRRYREREREZEDscgiIiIiIiJyIBZZRETkdJo2bYphw4bJjkFERCblJjsAERGRI1kslmy/P378eCxbtgzu7u4aJcro9ddfx7lz57Bs2TIpxyciIvWxyCIiIlO5dOlS+uXFixdj3LhxiIyMTL8uf/78yJ8/v4xoAIBdu3ahbdu20o5PRETq43BBIiIylZCQkPRTgQIFYLFYMlyXP3/+h4YLNm3aFK+88gqGDRuGggULIjg4GN988w0SEhLQt29f+Pr6okyZMvjjjz/S72O1WjF58mSUKlUK3t7eqF69OpYuXZplruTkZLi7u2P79u14++23YbFY8Nhjj6n5qyAiIklYZBEREQH47rvvEBgYiF27duGVV17Byy+/jM6dO6Nhw4bYt28fWrVqhRdeeAGJiYkAgMmTJ2PBggWYOXMmjh49itdffx3PP/88tmzZkunju7m5Ydu2bQCAAwcO4NKlS/jzzz81+/mIiEg7LLKIiIgAVK9eHe+88w7Kli2L0aNHw8vLC4GBgRg4cCDKli2LcePG4fr16zh06BCSkpLwwQcfYO7cuYiIiEB4eDj69OmD559/HrNmzcr08V1cXHDx4kUUKlQI1atXR0hICPz9/bX9IYmISBOck0VERASgWrVq6ZddXV1RqFAhVK1aNf264OBgAMCVK1cQFRW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